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Finding the Third Proportional to 345,972 and 442,080

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Solution

The third proportional to 345,972 and 442,080 is: 564,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,972 : 442,080 = 442,080 : x
  2. Step 2: Convert to fraction form
    345,972/442,080 = 442,080/x
  3. Step 3: Cross multiply
    345,972x = 442,080 × 442,080
  4. Step 4: Simplify right side
    345,972x = 195,434,726,400
  5. Step 5: Solve for x
    x = 195,434,726,400/345,972
  6. Step 6: Final answer
    x = 564,885.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.