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Finding the Third Proportional to 322,407 and 498,432

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Solution

The third proportional to 322,407 and 498,432 is: 770,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407 : 498,432 = 498,432 : x
  2. Step 2: Convert to fraction form
    322,407/498,432 = 498,432/x
  3. Step 3: Cross multiply
    322,407x = 498,432 × 498,432
  4. Step 4: Simplify right side
    322,407x = 248,434,458,624
  5. Step 5: Solve for x
    x = 248,434,458,624/322,407
  6. Step 6: Final answer
    x = 770,561.62

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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.