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Finding the Third Proportional to 179,689.50 and 278,190

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Solution

The third proportional to 179,689.50 and 278,190 is: 430,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,689.50 : 278,190 = 278,190 : x
  2. Step 2: Convert to fraction form
    179,689.50/278,190 = 278,190/x
  3. Step 3: Cross multiply
    179,689.50x = 278,190 × 278,190
  4. Step 4: Simplify right side
    179,689.50x = 77,389,676,100
  5. Step 5: Solve for x
    x = 77,389,676,100/179,689.50
  6. Step 6: Final answer
    x = 430,685.58

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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.