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Finding the Third Proportional to 177,940 and 386,856

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Solution

The third proportional to 177,940 and 386,856 is: 841,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,940 : 386,856 = 386,856 : x
  2. Step 2: Convert to fraction form
    177,940/386,856 = 386,856/x
  3. Step 3: Cross multiply
    177,940x = 386,856 × 386,856
  4. Step 4: Simplify right side
    177,940x = 149,657,564,736
  5. Step 5: Solve for x
    x = 149,657,564,736/177,940
  6. Step 6: Final answer
    x = 841,056.34

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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.