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Finding the Third Proportional to 131,965,101 and 289,943,838

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Solution

The third proportional to 131,965,101 and 289,943,838 is: 637,042,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,965,101 : 289,943,838 = 289,943,838 : x
  2. Step 2: Convert to fraction form
    131,965,101/289,943,838 = 289,943,838/x
  3. Step 3: Cross multiply
    131,965,101x = 289,943,838 × 289,943,838
  4. Step 4: Simplify right side
    131,965,101x = 84,067,429,194,170,240
  5. Step 5: Solve for x
    x = 84,067,429,194,170,240/131,965,101
  6. Step 6: Final answer
    x = 637,042,889.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.