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Finding the Third Proportional to 177,352 and 389,195

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Solution

The third proportional to 177,352 and 389,195 is: 854,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,352 : 389,195 = 389,195 : x
  2. Step 2: Convert to fraction form
    177,352/389,195 = 389,195/x
  3. Step 3: Cross multiply
    177,352x = 389,195 × 389,195
  4. Step 4: Simplify right side
    177,352x = 151,472,748,025
  5. Step 5: Solve for x
    x = 151,472,748,025/177,352
  6. Step 6: Final answer
    x = 854,079.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.