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Finding the Third Proportional to 76,630 and 115,048

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Solution

The third proportional to 76,630 and 115,048 is: 172,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,630 : 115,048 = 115,048 : x
  2. Step 2: Convert to fraction form
    76,630/115,048 = 115,048/x
  3. Step 3: Cross multiply
    76,630x = 115,048 × 115,048
  4. Step 4: Simplify right side
    76,630x = 13,236,042,304
  5. Step 5: Solve for x
    x = 13,236,042,304/76,630
  6. Step 6: Final answer
    x = 172,726.64

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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.