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Finding the Third Proportional to 322,408 and 498,739

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Solution

The third proportional to 322,408 and 498,739 is: 771,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,408 : 498,739 = 498,739 : x
  2. Step 2: Convert to fraction form
    322,408/498,739 = 498,739/x
  3. Step 3: Cross multiply
    322,408x = 498,739 × 498,739
  4. Step 4: Simplify right side
    322,408x = 248,740,590,121
  5. Step 5: Solve for x
    x = 248,740,590,121/322,408
  6. Step 6: Final answer
    x = 771,508.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.