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Finding the Third Proportional to 177,561 and 390,114

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Solution

The third proportional to 177,561 and 390,114 is: 857,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,561 : 390,114 = 390,114 : x
  2. Step 2: Convert to fraction form
    177,561/390,114 = 390,114/x
  3. Step 3: Cross multiply
    177,561x = 390,114 × 390,114
  4. Step 4: Simplify right side
    177,561x = 152,188,932,996
  5. Step 5: Solve for x
    x = 152,188,932,996/177,561
  6. Step 6: Final answer
    x = 857,107.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.