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Finding the Third Proportional to 177,932 and 386,840

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Solution

The third proportional to 177,932 and 386,840 is: 841,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,932 : 386,840 = 386,840 : x
  2. Step 2: Convert to fraction form
    177,932/386,840 = 386,840/x
  3. Step 3: Cross multiply
    177,932x = 386,840 × 386,840
  4. Step 4: Simplify right side
    177,932x = 149,645,185,600
  5. Step 5: Solve for x
    x = 149,645,185,600/177,932
  6. Step 6: Final answer
    x = 841,024.58

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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.