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Finding the Third Proportional to 137,767,288 and 297,450,372

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Solution

The third proportional to 137,767,288 and 297,450,372 is: 642,218,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767,288 : 297,450,372 = 297,450,372 : x
  2. Step 2: Convert to fraction form
    137,767,288/297,450,372 = 297,450,372/x
  3. Step 3: Cross multiply
    137,767,288x = 297,450,372 × 297,450,372
  4. Step 4: Simplify right side
    137,767,288x = 88,476,723,802,938,384
  5. Step 5: Solve for x
    x = 88,476,723,802,938,384/137,767,288
  6. Step 6: Final answer
    x = 642,218,665.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.