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Finding the Third Proportional to 497.50 and 762.12

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Solution

The third proportional to 497.50 and 762.12 is: 1,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 762.12 = 762.12 : x
  2. Step 2: Convert to fraction form
    497.50/762.12 = 762.12/x
  3. Step 3: Cross multiply
    497.50x = 762.12 × 762.12
  4. Step 4: Simplify right side
    497.50x = 580,822.61
  5. Step 5: Solve for x
    x = 580,822.61/497.50
  6. Step 6: Final answer
    x = 1,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.