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Finding the Third Proportional to 129,641 and 211,691

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Solution

The third proportional to 129,641 and 211,691 is: 345,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641 : 211,691 = 211,691 : x
  2. Step 2: Convert to fraction form
    129,641/211,691 = 211,691/x
  3. Step 3: Cross multiply
    129,641x = 211,691 × 211,691
  4. Step 4: Simplify right side
    129,641x = 44,813,079,481
  5. Step 5: Solve for x
    x = 44,813,079,481/129,641
  6. Step 6: Final answer
    x = 345,670.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.