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Finding the Third Proportional to 57,005 and 87,749

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Solution

The third proportional to 57,005 and 87,749 is: 135,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005 : 87,749 = 87,749 : x
  2. Step 2: Convert to fraction form
    57,005/87,749 = 87,749/x
  3. Step 3: Cross multiply
    57,005x = 87,749 × 87,749
  4. Step 4: Simplify right side
    57,005x = 7,699,887,001
  5. Step 5: Solve for x
    x = 7,699,887,001/57,005
  6. Step 6: Final answer
    x = 135,073.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.