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Finding the Third Proportional to 4,542.75 and 9,781.03

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Solution

The third proportional to 4,542.75 and 9,781.03 is: 21,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.75 : 9,781.03 = 9,781.03 : x
  2. Step 2: Convert to fraction form
    4,542.75/9,781.03 = 9,781.03/x
  3. Step 3: Cross multiply
    4,542.75x = 9,781.03 × 9,781.03
  4. Step 4: Simplify right side
    4,542.75x = 95,668,572.31
  5. Step 5: Solve for x
    x = 95,668,572.31/4,542.75
  6. Step 6: Final answer
    x = 21,059.62

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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.