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Finding the Third Proportional to 142,560.75 and 192,432.75

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Solution

The third proportional to 142,560.75 and 192,432.75 is: 259,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,560.75 : 192,432.75 = 192,432.75 : x
  2. Step 2: Convert to fraction form
    142,560.75/192,432.75 = 192,432.75/x
  3. Step 3: Cross multiply
    142,560.75x = 192,432.75 × 192,432.75
  4. Step 4: Simplify right side
    142,560.75x = 37,030,363,272.56
  5. Step 5: Solve for x
    x = 37,030,363,272.56/142,560.75
  6. Step 6: Final answer
    x = 259,751.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.