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Finding the Third Proportional to 409.75 and 602.54

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Solution

The third proportional to 409.75 and 602.54 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 602.54 = 602.54 : x
  2. Step 2: Convert to fraction form
    409.75/602.54 = 602.54/x
  3. Step 3: Cross multiply
    409.75x = 602.54 × 602.54
  4. Step 4: Simplify right side
    409.75x = 363,058.03
  5. Step 5: Solve for x
    x = 363,058.03/409.75
  6. Step 6: Final answer
    x = 886.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.