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Finding the Third Proportional to 322,911 and 497,992

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Solution

The third proportional to 322,911 and 497,992 is: 768,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,911 : 497,992 = 497,992 : x
  2. Step 2: Convert to fraction form
    322,911/497,992 = 497,992/x
  3. Step 3: Cross multiply
    322,911x = 497,992 × 497,992
  4. Step 4: Simplify right side
    322,911x = 247,996,032,064
  5. Step 5: Solve for x
    x = 247,996,032,064/322,911
  6. Step 6: Final answer
    x = 768,001.19

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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.