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Finding the Third Proportional to 320.31 and 497.56

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Solution

The third proportional to 320.31 and 497.56 is: 772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.31 : 497.56 = 497.56 : x
  2. Step 2: Convert to fraction form
    320.31/497.56 = 497.56/x
  3. Step 3: Cross multiply
    320.31x = 497.56 × 497.56
  4. Step 4: Simplify right side
    320.31x = 247,568.44
  5. Step 5: Solve for x
    x = 247,568.44/320.31
  6. Step 6: Final answer
    x = 772.90

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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.