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Finding the Third Proportional to 90,786 and 141,151.50

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Solution

The third proportional to 90,786 and 141,151.50 is: 219,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,786 : 141,151.50 = 141,151.50 : x
  2. Step 2: Convert to fraction form
    90,786/141,151.50 = 141,151.50/x
  3. Step 3: Cross multiply
    90,786x = 141,151.50 × 141,151.50
  4. Step 4: Simplify right side
    90,786x = 19,923,745,952.25
  5. Step 5: Solve for x
    x = 19,923,745,952.25/90,786
  6. Step 6: Final answer
    x = 219,458.35

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