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Finding the Third Proportional to 137,315 and 207,909

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Solution

The third proportional to 137,315 and 207,909 is: 314,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315 : 207,909 = 207,909 : x
  2. Step 2: Convert to fraction form
    137,315/207,909 = 207,909/x
  3. Step 3: Cross multiply
    137,315x = 207,909 × 207,909
  4. Step 4: Simplify right side
    137,315x = 43,226,152,281
  5. Step 5: Solve for x
    x = 43,226,152,281/137,315
  6. Step 6: Final answer
    x = 314,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.