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Finding the Third Proportional to 90,160.75 and 140,344.25

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Solution

The third proportional to 90,160.75 and 140,344.25 is: 218,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,160.75 : 140,344.25 = 140,344.25 : x
  2. Step 2: Convert to fraction form
    90,160.75/140,344.25 = 140,344.25/x
  3. Step 3: Cross multiply
    90,160.75x = 140,344.25 × 140,344.25
  4. Step 4: Simplify right side
    90,160.75x = 19,696,508,508.06
  5. Step 5: Solve for x
    x = 19,696,508,508.06/90,160.75
  6. Step 6: Final answer
    x = 218,459.90

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Why These Related Problems?

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