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Finding the Third Proportional to 262,560 and 393,744

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Solution

The third proportional to 262,560 and 393,744 is: 590,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,560 : 393,744 = 393,744 : x
  2. Step 2: Convert to fraction form
    262,560/393,744 = 393,744/x
  3. Step 3: Cross multiply
    262,560x = 393,744 × 393,744
  4. Step 4: Simplify right side
    262,560x = 155,034,337,536
  5. Step 5: Solve for x
    x = 155,034,337,536/262,560
  6. Step 6: Final answer
    x = 590,472.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.