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Finding the Third Proportional to 129,700.50 and 282,126

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Solution

The third proportional to 129,700.50 and 282,126 is: 613,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,700.50 : 282,126 = 282,126 : x
  2. Step 2: Convert to fraction form
    129,700.50/282,126 = 282,126/x
  3. Step 3: Cross multiply
    129,700.50x = 282,126 × 282,126
  4. Step 4: Simplify right side
    129,700.50x = 79,595,079,876
  5. Step 5: Solve for x
    x = 79,595,079,876/129,700.50
  6. Step 6: Final answer
    x = 613,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.