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Finding the Third Proportional to 90,132.75 and 141,385.50

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Solution

The third proportional to 90,132.75 and 141,385.50 is: 221,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,132.75 : 141,385.50 = 141,385.50 : x
  2. Step 2: Convert to fraction form
    90,132.75/141,385.50 = 141,385.50/x
  3. Step 3: Cross multiply
    90,132.75x = 141,385.50 × 141,385.50
  4. Step 4: Simplify right side
    90,132.75x = 19,989,859,610.25
  5. Step 5: Solve for x
    x = 19,989,859,610.25/90,132.75
  6. Step 6: Final answer
    x = 221,782.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.