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Finding the Third Proportional to 180,166 and 278,990

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Solution

The third proportional to 180,166 and 278,990 is: 432,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,166 : 278,990 = 278,990 : x
  2. Step 2: Convert to fraction form
    180,166/278,990 = 278,990/x
  3. Step 3: Cross multiply
    180,166x = 278,990 × 278,990
  4. Step 4: Simplify right side
    180,166x = 77,835,420,100
  5. Step 5: Solve for x
    x = 77,835,420,100/180,166
  6. Step 6: Final answer
    x = 432,020.58

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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.