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Finding the Third Proportional to 178,696.13 and 392,931

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Solution

The third proportional to 178,696.13 and 392,931 is: 864,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.13 : 392,931 = 392,931 : x
  2. Step 2: Convert to fraction form
    178,696.13/392,931 = 392,931/x
  3. Step 3: Cross multiply
    178,696.13x = 392,931 × 392,931
  4. Step 4: Simplify right side
    178,696.13x = 154,394,770,761
  5. Step 5: Solve for x
    x = 154,394,770,761/178,696.13
  6. Step 6: Final answer
    x = 864,007.38

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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.