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Finding the Third Proportional to 39,432 and 56,680.75

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Solution

The third proportional to 39,432 and 56,680.75 is: 81,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,432 : 56,680.75 = 56,680.75 : x
  2. Step 2: Convert to fraction form
    39,432/56,680.75 = 56,680.75/x
  3. Step 3: Cross multiply
    39,432x = 56,680.75 × 56,680.75
  4. Step 4: Simplify right side
    39,432x = 3,212,707,420.56
  5. Step 5: Solve for x
    x = 3,212,707,420.56/39,432
  6. Step 6: Final answer
    x = 81,474.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.