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Finding the Third Proportional to 82,502 and 128,680

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Solution

The third proportional to 82,502 and 128,680 is: 200,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502 : 128,680 = 128,680 : x
  2. Step 2: Convert to fraction form
    82,502/128,680 = 128,680/x
  3. Step 3: Cross multiply
    82,502x = 128,680 × 128,680
  4. Step 4: Simplify right side
    82,502x = 16,558,542,400
  5. Step 5: Solve for x
    x = 16,558,542,400/82,502
  6. Step 6: Final answer
    x = 200,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.