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Finding the Third Proportional to 176,342 and 387,672

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Solution

The third proportional to 176,342 and 387,672 is: 852,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,342 : 387,672 = 387,672 : x
  2. Step 2: Convert to fraction form
    176,342/387,672 = 387,672/x
  3. Step 3: Cross multiply
    176,342x = 387,672 × 387,672
  4. Step 4: Simplify right side
    176,342x = 150,289,579,584
  5. Step 5: Solve for x
    x = 150,289,579,584/176,342
  6. Step 6: Final answer
    x = 852,261.97

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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.