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Finding the Third Proportional to 30,874.92 and 66,430.97

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Solution

The third proportional to 30,874.92 and 66,430.97 is: 142,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.92 : 66,430.97 = 66,430.97 : x
  2. Step 2: Convert to fraction form
    30,874.92/66,430.97 = 66,430.97/x
  3. Step 3: Cross multiply
    30,874.92x = 66,430.97 × 66,430.97
  4. Step 4: Simplify right side
    30,874.92x = 4,413,073,609.06
  5. Step 5: Solve for x
    x = 4,413,073,609.06/30,874.92
  6. Step 6: Final answer
    x = 142,933.92

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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.