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Finding the Third Proportional to 129,732 and 197,214

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Solution

The third proportional to 129,732 and 197,214 is: 299,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,732 : 197,214 = 197,214 : x
  2. Step 2: Convert to fraction form
    129,732/197,214 = 197,214/x
  3. Step 3: Cross multiply
    129,732x = 197,214 × 197,214
  4. Step 4: Simplify right side
    129,732x = 38,893,361,796
  5. Step 5: Solve for x
    x = 38,893,361,796/129,732
  6. Step 6: Final answer
    x = 299,797.75

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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.