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Finding the Third Proportional to 635.13 and 909.04

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Solution

The third proportional to 635.13 and 909.04 is: 1,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.13 : 909.04 = 909.04 : x
  2. Step 2: Convert to fraction form
    635.13/909.04 = 909.04/x
  3. Step 3: Cross multiply
    635.13x = 909.04 × 909.04
  4. Step 4: Simplify right side
    635.13x = 826,344.92
  5. Step 5: Solve for x
    x = 826,344.92/635.13
  6. Step 6: Final answer
    x = 1,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.