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Finding the Third Proportional to 100,419.75 and 155,589.19

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Solution

The third proportional to 100,419.75 and 155,589.19 is: 241,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.75 : 155,589.19 = 155,589.19 : x
  2. Step 2: Convert to fraction form
    100,419.75/155,589.19 = 155,589.19/x
  3. Step 3: Cross multiply
    100,419.75x = 155,589.19 × 155,589.19
  4. Step 4: Simplify right side
    100,419.75x = 24,207,995,266.91
  5. Step 5: Solve for x
    x = 24,207,995,266.91/100,419.75
  6. Step 6: Final answer
    x = 241,068.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.