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Finding the Third Proportional to 322,916 and 498,000

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Solution

The third proportional to 322,916 and 498,000 is: 768,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,916 : 498,000 = 498,000 : x
  2. Step 2: Convert to fraction form
    322,916/498,000 = 498,000/x
  3. Step 3: Cross multiply
    322,916x = 498,000 × 498,000
  4. Step 4: Simplify right side
    322,916x = 248,004,000,000
  5. Step 5: Solve for x
    x = 248,004,000,000/322,916
  6. Step 6: Final answer
    x = 768,013.97

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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.