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Finding the Third Proportional to 129,734 and 197,217

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Solution

The third proportional to 129,734 and 197,217 is: 299,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,734 : 197,217 = 197,217 : x
  2. Step 2: Convert to fraction form
    129,734/197,217 = 197,217/x
  3. Step 3: Cross multiply
    129,734x = 197,217 × 197,217
  4. Step 4: Simplify right side
    129,734x = 38,894,545,089
  5. Step 5: Solve for x
    x = 38,894,545,089/129,734
  6. Step 6: Final answer
    x = 299,802.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.