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Finding the Third Proportional to 493,510 and 743,908

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Solution

The third proportional to 493,510 and 743,908 is: 1,121,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,510 : 743,908 = 743,908 : x
  2. Step 2: Convert to fraction form
    493,510/743,908 = 743,908/x
  3. Step 3: Cross multiply
    493,510x = 743,908 × 743,908
  4. Step 4: Simplify right side
    493,510x = 553,399,112,464
  5. Step 5: Solve for x
    x = 553,399,112,464/493,510
  6. Step 6: Final answer
    x = 1,121,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.