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Finding the Third Proportional to 338,838 and 496,940

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Solution

The third proportional to 338,838 and 496,940 is: 728,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,838 : 496,940 = 496,940 : x
  2. Step 2: Convert to fraction form
    338,838/496,940 = 496,940/x
  3. Step 3: Cross multiply
    338,838x = 496,940 × 496,940
  4. Step 4: Simplify right side
    338,838x = 246,949,363,600
  5. Step 5: Solve for x
    x = 246,949,363,600/338,838
  6. Step 6: Final answer
    x = 728,812.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.