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Finding the Third Proportional to 52,112 and 76,432

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Solution

The third proportional to 52,112 and 76,432 is: 112,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112 : 76,432 = 76,432 : x
  2. Step 2: Convert to fraction form
    52,112/76,432 = 76,432/x
  3. Step 3: Cross multiply
    52,112x = 76,432 × 76,432
  4. Step 4: Simplify right side
    52,112x = 5,841,850,624
  5. Step 5: Solve for x
    x = 5,841,850,624/52,112
  6. Step 6: Final answer
    x = 112,101.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.