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Finding the Third Proportional to 137,257,561 and 209,102,406

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Solution

The third proportional to 137,257,561 and 209,102,406 is: 318,553,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257,561 : 209,102,406 = 209,102,406 : x
  2. Step 2: Convert to fraction form
    137,257,561/209,102,406 = 209,102,406/x
  3. Step 3: Cross multiply
    137,257,561x = 209,102,406 × 209,102,406
  4. Step 4: Simplify right side
    137,257,561x = 43,723,816,194,988,832
  5. Step 5: Solve for x
    x = 43,723,816,194,988,832/137,257,561
  6. Step 6: Final answer
    x = 318,553,060.95

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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.