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Finding the Third Proportional to 355.31 and 497.53

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Solution

The third proportional to 355.31 and 497.53 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 497.53 = 497.53 : x
  2. Step 2: Convert to fraction form
    355.31/497.53 = 497.53/x
  3. Step 3: Cross multiply
    355.31x = 497.53 × 497.53
  4. Step 4: Simplify right side
    355.31x = 247,537.34
  5. Step 5: Solve for x
    x = 247,537.34/355.31
  6. Step 6: Final answer
    x = 696.68

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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.