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Finding the Third Proportional to 322,909 and 497,989

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Solution

The third proportional to 322,909 and 497,989 is: 767,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,909 : 497,989 = 497,989 : x
  2. Step 2: Convert to fraction form
    322,909/497,989 = 497,989/x
  3. Step 3: Cross multiply
    322,909x = 497,989 × 497,989
  4. Step 4: Simplify right side
    322,909x = 247,993,044,121
  5. Step 5: Solve for x
    x = 247,993,044,121/322,909
  6. Step 6: Final answer
    x = 767,996.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.