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Finding the Third Proportional to 329,442 and 498,315

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Solution

The third proportional to 329,442 and 498,315 is: 753,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,442 : 498,315 = 498,315 : x
  2. Step 2: Convert to fraction form
    329,442/498,315 = 498,315/x
  3. Step 3: Cross multiply
    329,442x = 498,315 × 498,315
  4. Step 4: Simplify right side
    329,442x = 248,317,839,225
  5. Step 5: Solve for x
    x = 248,317,839,225/329,442
  6. Step 6: Final answer
    x = 753,752.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.