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Finding the Third Proportional to 222,103,979,491 and 338,360,049,460.50

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Solution

The third proportional to 222,103,979,491 and 338,360,049,460.50 is: 515,468,130,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,103,979,491 : 338,360,049,460.50 = 338,360,049,460.50 : x
  2. Step 2: Convert to fraction form
    222,103,979,491/338,360,049,460.50 = 338,360,049,460.50/x
  3. Step 3: Cross multiply
    222,103,979,491x = 338,360,049,460.50 × 338,360,049,460.50
  4. Step 4: Simplify right side
    222,103,979,491x = 114,487,523,070,912,006,979,584
  5. Step 5: Solve for x
    x = 114,487,523,070,912,006,979,584/222,103,979,491
  6. Step 6: Final answer
    x = 515,468,130,437.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.