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Finding the Third Proportional to 30,778.89 and 66,306.96

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Solution

The third proportional to 30,778.89 and 66,306.96 is: 142,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.89 : 66,306.96 = 66,306.96 : x
  2. Step 2: Convert to fraction form
    30,778.89/66,306.96 = 66,306.96/x
  3. Step 3: Cross multiply
    30,778.89x = 66,306.96 × 66,306.96
  4. Step 4: Simplify right side
    30,778.89x = 4,396,613,457.28
  5. Step 5: Solve for x
    x = 4,396,613,457.28/30,778.89
  6. Step 6: Final answer
    x = 142,845.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.