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Finding the Third Proportional to 81,412 and 128,674

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Solution

The third proportional to 81,412 and 128,674 is: 203,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412 : 128,674 = 128,674 : x
  2. Step 2: Convert to fraction form
    81,412/128,674 = 128,674/x
  3. Step 3: Cross multiply
    81,412x = 128,674 × 128,674
  4. Step 4: Simplify right side
    81,412x = 16,556,998,276
  5. Step 5: Solve for x
    x = 16,556,998,276/81,412
  6. Step 6: Final answer
    x = 203,372.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.