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Finding the Third Proportional to 86,491 and 129,737

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Solution

The third proportional to 86,491 and 129,737 is: 194,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,491 : 129,737 = 129,737 : x
  2. Step 2: Convert to fraction form
    86,491/129,737 = 129,737/x
  3. Step 3: Cross multiply
    86,491x = 129,737 × 129,737
  4. Step 4: Simplify right side
    86,491x = 16,831,689,169
  5. Step 5: Solve for x
    x = 16,831,689,169/86,491
  6. Step 6: Final answer
    x = 194,606.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.