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Finding the Third Proportional to 176,392 and 387,042

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Solution

The third proportional to 176,392 and 387,042 is: 849,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,392 : 387,042 = 387,042 : x
  2. Step 2: Convert to fraction form
    176,392/387,042 = 387,042/x
  3. Step 3: Cross multiply
    176,392x = 387,042 × 387,042
  4. Step 4: Simplify right side
    176,392x = 149,801,509,764
  5. Step 5: Solve for x
    x = 149,801,509,764/176,392
  6. Step 6: Final answer
    x = 849,253.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.