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Finding the Third Proportional to 30,789.75 and 66,387

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Solution

The third proportional to 30,789.75 and 66,387 is: 143,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.75 : 66,387 = 66,387 : x
  2. Step 2: Convert to fraction form
    30,789.75/66,387 = 66,387/x
  3. Step 3: Cross multiply
    30,789.75x = 66,387 × 66,387
  4. Step 4: Simplify right side
    30,789.75x = 4,407,233,769
  5. Step 5: Solve for x
    x = 4,407,233,769/30,789.75
  6. Step 6: Final answer
    x = 143,139.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.