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Finding the Third Proportional to 180,108 and 278,766

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Solution

The third proportional to 180,108 and 278,766 is: 431,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108 : 278,766 = 278,766 : x
  2. Step 2: Convert to fraction form
    180,108/278,766 = 278,766/x
  3. Step 3: Cross multiply
    180,108x = 278,766 × 278,766
  4. Step 4: Simplify right side
    180,108x = 77,710,482,756
  5. Step 5: Solve for x
    x = 77,710,482,756/180,108
  6. Step 6: Final answer
    x = 431,466.02

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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.