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Finding the Third Proportional to 177,433 and 389,217

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Solution

The third proportional to 177,433 and 389,217 is: 853,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,433 : 389,217 = 389,217 : x
  2. Step 2: Convert to fraction form
    177,433/389,217 = 389,217/x
  3. Step 3: Cross multiply
    177,433x = 389,217 × 389,217
  4. Step 4: Simplify right side
    177,433x = 151,489,873,089
  5. Step 5: Solve for x
    x = 151,489,873,089/177,433
  6. Step 6: Final answer
    x = 853,786.35

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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.