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Finding the Third Proportional to 90,841.50 and 141,780

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Solution

The third proportional to 90,841.50 and 141,780 is: 221,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.50 : 141,780 = 141,780 : x
  2. Step 2: Convert to fraction form
    90,841.50/141,780 = 141,780/x
  3. Step 3: Cross multiply
    90,841.50x = 141,780 × 141,780
  4. Step 4: Simplify right side
    90,841.50x = 20,101,568,400
  5. Step 5: Solve for x
    x = 20,101,568,400/90,841.50
  6. Step 6: Final answer
    x = 221,281.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.