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Finding the Third Proportional to 76,472 and 179,920

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Solution

The third proportional to 76,472 and 179,920 is: 423,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472 : 179,920 = 179,920 : x
  2. Step 2: Convert to fraction form
    76,472/179,920 = 179,920/x
  3. Step 3: Cross multiply
    76,472x = 179,920 × 179,920
  4. Step 4: Simplify right side
    76,472x = 32,371,206,400
  5. Step 5: Solve for x
    x = 32,371,206,400/76,472
  6. Step 6: Final answer
    x = 423,307.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.