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Finding the Third Proportional to 84,488 and 126,479

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Solution

The third proportional to 84,488 and 126,479 is: 189,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,488 : 126,479 = 126,479 : x
  2. Step 2: Convert to fraction form
    84,488/126,479 = 126,479/x
  3. Step 3: Cross multiply
    84,488x = 126,479 × 126,479
  4. Step 4: Simplify right side
    84,488x = 15,996,937,441
  5. Step 5: Solve for x
    x = 15,996,937,441/84,488
  6. Step 6: Final answer
    x = 189,339.76

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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.