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Finding the Third Proportional to 177,807 and 386,142

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Solution

The third proportional to 177,807 and 386,142 is: 838,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,807 : 386,142 = 386,142 : x
  2. Step 2: Convert to fraction form
    177,807/386,142 = 386,142/x
  3. Step 3: Cross multiply
    177,807x = 386,142 × 386,142
  4. Step 4: Simplify right side
    177,807x = 149,105,644,164
  5. Step 5: Solve for x
    x = 149,105,644,164/177,807
  6. Step 6: Final answer
    x = 838,581.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.