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Finding the Third Proportional to 177,786 and 275,103

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Solution

The third proportional to 177,786 and 275,103 is: 425,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,786 : 275,103 = 275,103 : x
  2. Step 2: Convert to fraction form
    177,786/275,103 = 275,103/x
  3. Step 3: Cross multiply
    177,786x = 275,103 × 275,103
  4. Step 4: Simplify right side
    177,786x = 75,681,660,609
  5. Step 5: Solve for x
    x = 75,681,660,609/177,786
  6. Step 6: Final answer
    x = 425,689.65

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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.