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Finding the Third Proportional to 129,876.75 and 207,477

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Solution

The third proportional to 129,876.75 and 207,477 is: 331,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,876.75 : 207,477 = 207,477 : x
  2. Step 2: Convert to fraction form
    129,876.75/207,477 = 207,477/x
  3. Step 3: Cross multiply
    129,876.75x = 207,477 × 207,477
  4. Step 4: Simplify right side
    129,876.75x = 43,046,705,529
  5. Step 5: Solve for x
    x = 43,046,705,529/129,876.75
  6. Step 6: Final answer
    x = 331,442.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.