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Finding the Third Proportional to 158,564 and 217,436

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Solution

The third proportional to 158,564 and 217,436 is: 298,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564 : 217,436 = 217,436 : x
  2. Step 2: Convert to fraction form
    158,564/217,436 = 217,436/x
  3. Step 3: Cross multiply
    158,564x = 217,436 × 217,436
  4. Step 4: Simplify right side
    158,564x = 47,278,414,096
  5. Step 5: Solve for x
    x = 47,278,414,096/158,564
  6. Step 6: Final answer
    x = 298,166.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.