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Finding the Third Proportional to 82,518 and 128,707

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Solution

The third proportional to 82,518 and 128,707 is: 200,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,518 : 128,707 = 128,707 : x
  2. Step 2: Convert to fraction form
    82,518/128,707 = 128,707/x
  3. Step 3: Cross multiply
    82,518x = 128,707 × 128,707
  4. Step 4: Simplify right side
    82,518x = 16,565,491,849
  5. Step 5: Solve for x
    x = 16,565,491,849/82,518
  6. Step 6: Final answer
    x = 200,750.04

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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.