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Finding the Third Proportional to 322,918 and 498,003

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Solution

The third proportional to 322,918 and 498,003 is: 768,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,918 : 498,003 = 498,003 : x
  2. Step 2: Convert to fraction form
    322,918/498,003 = 498,003/x
  3. Step 3: Cross multiply
    322,918x = 498,003 × 498,003
  4. Step 4: Simplify right side
    322,918x = 248,006,988,009
  5. Step 5: Solve for x
    x = 248,006,988,009/322,918
  6. Step 6: Final answer
    x = 768,018.47

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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.