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Finding the Third Proportional to 57,048 and 85,749

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Solution

The third proportional to 57,048 and 85,749 is: 128,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,048 : 85,749 = 85,749 : x
  2. Step 2: Convert to fraction form
    57,048/85,749 = 85,749/x
  3. Step 3: Cross multiply
    57,048x = 85,749 × 85,749
  4. Step 4: Simplify right side
    57,048x = 7,352,891,001
  5. Step 5: Solve for x
    x = 7,352,891,001/57,048
  6. Step 6: Final answer
    x = 128,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.