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Finding the Third Proportional to 138,229,313 and 296,972,538

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Solution

The third proportional to 138,229,313 and 296,972,538 is: 638,017,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229,313 : 296,972,538 = 296,972,538 : x
  2. Step 2: Convert to fraction form
    138,229,313/296,972,538 = 296,972,538/x
  3. Step 3: Cross multiply
    138,229,313x = 296,972,538 × 296,972,538
  4. Step 4: Simplify right side
    138,229,313x = 88,192,688,326,161,440
  5. Step 5: Solve for x
    x = 88,192,688,326,161,440/138,229,313
  6. Step 6: Final answer
    x = 638,017,265.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.