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Finding the Third Proportional to 497.50 and 772.75

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Solution

The third proportional to 497.50 and 772.75 is: 1,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 772.75 = 772.75 : x
  2. Step 2: Convert to fraction form
    497.50/772.75 = 772.75/x
  3. Step 3: Cross multiply
    497.50x = 772.75 × 772.75
  4. Step 4: Simplify right side
    497.50x = 597,142.56
  5. Step 5: Solve for x
    x = 597,142.56/497.50
  6. Step 6: Final answer
    x = 1,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.