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Finding the Third Proportional to 521.53 and 729.14

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Solution

The third proportional to 521.53 and 729.14 is: 1,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.53 : 729.14 = 729.14 : x
  2. Step 2: Convert to fraction form
    521.53/729.14 = 729.14/x
  3. Step 3: Cross multiply
    521.53x = 729.14 × 729.14
  4. Step 4: Simplify right side
    521.53x = 531,646.05
  5. Step 5: Solve for x
    x = 531,646.05/521.53
  6. Step 6: Final answer
    x = 1,019.39

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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.