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Finding the Third Proportional to 57.90 and 84.48

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Solution

The third proportional to 57.90 and 84.48 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.90 : 84.48 = 84.48 : x
  2. Step 2: Convert to fraction form
    57.90/84.48 = 84.48/x
  3. Step 3: Cross multiply
    57.90x = 84.48 × 84.48
  4. Step 4: Simplify right side
    57.90x = 7,136.95
  5. Step 5: Solve for x
    x = 7,136.95/57.90
  6. Step 6: Final answer
    x = 123.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.