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Finding the Third Proportional to 135,909 and 207,413

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Solution

The third proportional to 135,909 and 207,413 is: 316,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909 : 207,413 = 207,413 : x
  2. Step 2: Convert to fraction form
    135,909/207,413 = 207,413/x
  3. Step 3: Cross multiply
    135,909x = 207,413 × 207,413
  4. Step 4: Simplify right side
    135,909x = 43,020,152,569
  5. Step 5: Solve for x
    x = 43,020,152,569/135,909
  6. Step 6: Final answer
    x = 316,536.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.