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Finding the Third Proportional to 322,409 and 498,435

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Solution

The third proportional to 322,409 and 498,435 is: 770,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409 : 498,435 = 498,435 : x
  2. Step 2: Convert to fraction form
    322,409/498,435 = 498,435/x
  3. Step 3: Cross multiply
    322,409x = 498,435 × 498,435
  4. Step 4: Simplify right side
    322,409x = 248,437,449,225
  5. Step 5: Solve for x
    x = 248,437,449,225/322,409
  6. Step 6: Final answer
    x = 770,566.11

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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.