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Finding the Third Proportional to 221,055,980,949 and 339,569,030,488.50

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Solution

The third proportional to 221,055,980,949 and 339,569,030,488.50 is: 521,619,573,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,055,980,949 : 339,569,030,488.50 = 339,569,030,488.50 : x
  2. Step 2: Convert to fraction form
    221,055,980,949/339,569,030,488.50 = 339,569,030,488.50/x
  3. Step 3: Cross multiply
    221,055,980,949x = 339,569,030,488.50 × 339,569,030,488.50
  4. Step 4: Simplify right side
    221,055,980,949x = 115,307,126,466,899,846,627,328
  5. Step 5: Solve for x
    x = 115,307,126,466,899,846,627,328/221,055,980,949
  6. Step 6: Final answer
    x = 521,619,573,340.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.