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Finding the Third Proportional to 158,569 and 217,438

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Solution

The third proportional to 158,569 and 217,438 is: 298,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,569 : 217,438 = 217,438 : x
  2. Step 2: Convert to fraction form
    158,569/217,438 = 217,438/x
  3. Step 3: Cross multiply
    158,569x = 217,438 × 217,438
  4. Step 4: Simplify right side
    158,569x = 47,279,283,844
  5. Step 5: Solve for x
    x = 47,279,283,844/158,569
  6. Step 6: Final answer
    x = 298,162.21

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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.