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Finding the Third Proportional to 8,398.13 and 12,480.19

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Solution

The third proportional to 8,398.13 and 12,480.19 is: 18,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.13 : 12,480.19 = 12,480.19 : x
  2. Step 2: Convert to fraction form
    8,398.13/12,480.19 = 12,480.19/x
  3. Step 3: Cross multiply
    8,398.13x = 12,480.19 × 12,480.19
  4. Step 4: Simplify right side
    8,398.13x = 155,755,080.04
  5. Step 5: Solve for x
    x = 155,755,080.04/8,398.13
  6. Step 6: Final answer
    x = 18,546.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.