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Finding the Third Proportional to 801.42 and 909.42

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Solution

The third proportional to 801.42 and 909.42 is: 1,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 909.42 = 909.42 : x
  2. Step 2: Convert to fraction form
    801.42/909.42 = 909.42/x
  3. Step 3: Cross multiply
    801.42x = 909.42 × 909.42
  4. Step 4: Simplify right side
    801.42x = 827,048.15
  5. Step 5: Solve for x
    x = 827,048.15/801.42
  6. Step 6: Final answer
    x = 1,031.98

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.