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Finding the Third Proportional to 392,238 and 626,751

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Solution

The third proportional to 392,238 and 626,751 is: 1,001,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,238 : 626,751 = 626,751 : x
  2. Step 2: Convert to fraction form
    392,238/626,751 = 626,751/x
  3. Step 3: Cross multiply
    392,238x = 626,751 × 626,751
  4. Step 4: Simplify right side
    392,238x = 392,816,816,001
  5. Step 5: Solve for x
    x = 392,816,816,001/392,238
  6. Step 6: Final answer
    x = 1,001,475.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.