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Finding the Third Proportional to 387.84 and 542.53

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Solution

The third proportional to 387.84 and 542.53 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 542.53 = 542.53 : x
  2. Step 2: Convert to fraction form
    387.84/542.53 = 542.53/x
  3. Step 3: Cross multiply
    387.84x = 542.53 × 542.53
  4. Step 4: Simplify right side
    387.84x = 294,340.16
  5. Step 5: Solve for x
    x = 294,340.16/387.84
  6. Step 6: Final answer
    x = 758.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.