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Finding the Third Proportional to 178,742 and 392,906

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Solution

The third proportional to 178,742 and 392,906 is: 863,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,742 : 392,906 = 392,906 : x
  2. Step 2: Convert to fraction form
    178,742/392,906 = 392,906/x
  3. Step 3: Cross multiply
    178,742x = 392,906 × 392,906
  4. Step 4: Simplify right side
    178,742x = 154,375,124,836
  5. Step 5: Solve for x
    x = 154,375,124,836/178,742
  6. Step 6: Final answer
    x = 863,675.72

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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.