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Finding the Third Proportional to 523.50 and 732.38

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Solution

The third proportional to 523.50 and 732.38 is: 1,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 732.38 = 732.38 : x
  2. Step 2: Convert to fraction form
    523.50/732.38 = 732.38/x
  3. Step 3: Cross multiply
    523.50x = 732.38 × 732.38
  4. Step 4: Simplify right side
    523.50x = 536,373.14
  5. Step 5: Solve for x
    x = 536,373.14/523.50
  6. Step 6: Final answer
    x = 1,024.59

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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.