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Finding the Third Proportional to 497.75 and 736.38

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Solution

The third proportional to 497.75 and 736.38 is: 1,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 736.38 = 736.38 : x
  2. Step 2: Convert to fraction form
    497.75/736.38 = 736.38/x
  3. Step 3: Cross multiply
    497.75x = 736.38 × 736.38
  4. Step 4: Simplify right side
    497.75x = 542,248.14
  5. Step 5: Solve for x
    x = 542,248.14/497.75
  6. Step 6: Final answer
    x = 1,089.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.