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Finding the Third Proportional to 129,132 and 279,711

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Solution

The third proportional to 129,132 and 279,711 is: 605,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,132 : 279,711 = 279,711 : x
  2. Step 2: Convert to fraction form
    129,132/279,711 = 279,711/x
  3. Step 3: Cross multiply
    129,132x = 279,711 × 279,711
  4. Step 4: Simplify right side
    129,132x = 78,238,243,521
  5. Step 5: Solve for x
    x = 78,238,243,521/129,132
  6. Step 6: Final answer
    x = 605,878.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.