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Finding the Third Proportional to 89,320.50 and 142,180.75

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Solution

The third proportional to 89,320.50 and 142,180.75 is: 226,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,320.50 : 142,180.75 = 142,180.75 : x
  2. Step 2: Convert to fraction form
    89,320.50/142,180.75 = 142,180.75/x
  3. Step 3: Cross multiply
    89,320.50x = 142,180.75 × 142,180.75
  4. Step 4: Simplify right side
    89,320.50x = 20,215,365,670.56
  5. Step 5: Solve for x
    x = 20,215,365,670.56/89,320.50
  6. Step 6: Final answer
    x = 226,323.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.