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Finding the Third Proportional to 285.88 and 454.38

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Solution

The third proportional to 285.88 and 454.38 is: 722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 454.38 = 454.38 : x
  2. Step 2: Convert to fraction form
    285.88/454.38 = 454.38/x
  3. Step 3: Cross multiply
    285.88x = 454.38 × 454.38
  4. Step 4: Simplify right side
    285.88x = 206,456.64
  5. Step 5: Solve for x
    x = 206,456.64/285.88
  6. Step 6: Final answer
    x = 722.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.