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Finding the Third Proportional to 180,102 and 278,757

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Solution

The third proportional to 180,102 and 278,757 is: 431,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102 : 278,757 = 278,757 : x
  2. Step 2: Convert to fraction form
    180,102/278,757 = 278,757/x
  3. Step 3: Cross multiply
    180,102x = 278,757 × 278,757
  4. Step 4: Simplify right side
    180,102x = 77,705,465,049
  5. Step 5: Solve for x
    x = 77,705,465,049/180,102
  6. Step 6: Final answer
    x = 431,452.54

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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.