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Finding the Third Proportional to 493,503 and 743,900

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Solution

The third proportional to 493,503 and 743,900 is: 1,121,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,503 : 743,900 = 743,900 : x
  2. Step 2: Convert to fraction form
    493,503/743,900 = 743,900/x
  3. Step 3: Cross multiply
    493,503x = 743,900 × 743,900
  4. Step 4: Simplify right side
    493,503x = 553,387,210,000
  5. Step 5: Solve for x
    x = 553,387,210,000/493,503
  6. Step 6: Final answer
    x = 1,121,345.18

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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.