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Finding the Third Proportional to 493,488 and 743,880

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Solution

The third proportional to 493,488 and 743,880 is: 1,121,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,488 : 743,880 = 743,880 : x
  2. Step 2: Convert to fraction form
    493,488/743,880 = 743,880/x
  3. Step 3: Cross multiply
    493,488x = 743,880 × 743,880
  4. Step 4: Simplify right side
    493,488x = 553,357,454,400
  5. Step 5: Solve for x
    x = 553,357,454,400/493,488
  6. Step 6: Final answer
    x = 1,121,318.97

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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.