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Finding the Third Proportional to 254.13 and 404.69

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Solution

The third proportional to 254.13 and 404.69 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 404.69 = 404.69 : x
  2. Step 2: Convert to fraction form
    254.13/404.69 = 404.69/x
  3. Step 3: Cross multiply
    254.13x = 404.69 × 404.69
  4. Step 4: Simplify right side
    254.13x = 163,771.97
  5. Step 5: Solve for x
    x = 163,771.97/254.13
  6. Step 6: Final answer
    x = 644.45

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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.