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Finding the Third Proportional to 178,744 and 392,910

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Solution

The third proportional to 178,744 and 392,910 is: 863,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,744 : 392,910 = 392,910 : x
  2. Step 2: Convert to fraction form
    178,744/392,910 = 392,910/x
  3. Step 3: Cross multiply
    178,744x = 392,910 × 392,910
  4. Step 4: Simplify right side
    178,744x = 154,378,268,100
  5. Step 5: Solve for x
    x = 154,378,268,100/178,744
  6. Step 6: Final answer
    x = 863,683.64

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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.