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Finding the Third Proportional to 540.14 and 729.76

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Solution

The third proportional to 540.14 and 729.76 is: 985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 729.76 = 729.76 : x
  2. Step 2: Convert to fraction form
    540.14/729.76 = 729.76/x
  3. Step 3: Cross multiply
    540.14x = 729.76 × 729.76
  4. Step 4: Simplify right side
    540.14x = 532,551.63
  5. Step 5: Solve for x
    x = 532,551.63/540.14
  6. Step 6: Final answer
    x = 985.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.