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Finding the Third Proportional to 177,340 and 389,132

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Solution

The third proportional to 177,340 and 389,132 is: 853,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,340 : 389,132 = 389,132 : x
  2. Step 2: Convert to fraction form
    177,340/389,132 = 389,132/x
  3. Step 3: Cross multiply
    177,340x = 389,132 × 389,132
  4. Step 4: Simplify right side
    177,340x = 151,423,713,424
  5. Step 5: Solve for x
    x = 151,423,713,424/177,340
  6. Step 6: Final answer
    x = 853,861.02

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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.