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Finding the Third Proportional to 133,726 and 207,730

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Solution

The third proportional to 133,726 and 207,730 is: 322,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,726 : 207,730 = 207,730 : x
  2. Step 2: Convert to fraction form
    133,726/207,730 = 207,730/x
  3. Step 3: Cross multiply
    133,726x = 207,730 × 207,730
  4. Step 4: Simplify right side
    133,726x = 43,151,752,900
  5. Step 5: Solve for x
    x = 43,151,752,900/133,726
  6. Step 6: Final answer
    x = 322,687.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.