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Finding the Third Proportional to 78,432.75 and 121,191.75

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Solution

The third proportional to 78,432.75 and 121,191.75 is: 187,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432.75 : 121,191.75 = 121,191.75 : x
  2. Step 2: Convert to fraction form
    78,432.75/121,191.75 = 121,191.75/x
  3. Step 3: Cross multiply
    78,432.75x = 121,191.75 × 121,191.75
  4. Step 4: Simplify right side
    78,432.75x = 14,687,440,268.06
  5. Step 5: Solve for x
    x = 14,687,440,268.06/78,432.75
  6. Step 6: Final answer
    x = 187,261.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.