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Finding the Third Proportional to 90,306.75 and 140,630.25

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Solution

The third proportional to 90,306.75 and 140,630.25 is: 218,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,306.75 : 140,630.25 = 140,630.25 : x
  2. Step 2: Convert to fraction form
    90,306.75/140,630.25 = 140,630.25/x
  3. Step 3: Cross multiply
    90,306.75x = 140,630.25 × 140,630.25
  4. Step 4: Simplify right side
    90,306.75x = 19,776,867,215.06
  5. Step 5: Solve for x
    x = 19,776,867,215.06/90,306.75
  6. Step 6: Final answer
    x = 218,996.56

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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.