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Finding the Third Proportional to 307.44 and 542.88

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Solution

The third proportional to 307.44 and 542.88 is: 958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 542.88 = 542.88 : x
  2. Step 2: Convert to fraction form
    307.44/542.88 = 542.88/x
  3. Step 3: Cross multiply
    307.44x = 542.88 × 542.88
  4. Step 4: Simplify right side
    307.44x = 294,713.27
  5. Step 5: Solve for x
    x = 294,713.27/307.44
  6. Step 6: Final answer
    x = 958.61

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.