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Finding the Third Proportional to 136,951 and 217,306

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Solution

The third proportional to 136,951 and 217,306 is: 344,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,951 : 217,306 = 217,306 : x
  2. Step 2: Convert to fraction form
    136,951/217,306 = 217,306/x
  3. Step 3: Cross multiply
    136,951x = 217,306 × 217,306
  4. Step 4: Simplify right side
    136,951x = 47,221,897,636
  5. Step 5: Solve for x
    x = 47,221,897,636/136,951
  6. Step 6: Final answer
    x = 344,808.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.