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Finding the Third Proportional to 158,587 and 217,467

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Solution

The third proportional to 158,587 and 217,467 is: 298,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,587 : 217,467 = 217,467 : x
  2. Step 2: Convert to fraction form
    158,587/217,467 = 217,467/x
  3. Step 3: Cross multiply
    158,587x = 217,467 × 217,467
  4. Step 4: Simplify right side
    158,587x = 47,291,896,089
  5. Step 5: Solve for x
    x = 47,291,896,089/158,587
  6. Step 6: Final answer
    x = 298,207.90

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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.