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Finding the Third Proportional to 177,291 and 393,948

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Solution

The third proportional to 177,291 and 393,948 is: 875,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,291 : 393,948 = 393,948 : x
  2. Step 2: Convert to fraction form
    177,291/393,948 = 393,948/x
  3. Step 3: Cross multiply
    177,291x = 393,948 × 393,948
  4. Step 4: Simplify right side
    177,291x = 155,195,026,704
  5. Step 5: Solve for x
    x = 155,195,026,704/177,291
  6. Step 6: Final answer
    x = 875,368.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.