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Finding the Third Proportional to 326,361 and 498,921

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Solution

The third proportional to 326,361 and 498,921 is: 762,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,361 : 498,921 = 498,921 : x
  2. Step 2: Convert to fraction form
    326,361/498,921 = 498,921/x
  3. Step 3: Cross multiply
    326,361x = 498,921 × 498,921
  4. Step 4: Simplify right side
    326,361x = 248,922,164,241
  5. Step 5: Solve for x
    x = 248,922,164,241/326,361
  6. Step 6: Final answer
    x = 762,720.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.