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Finding the Third Proportional to 170,820 and 274,448

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Solution

The third proportional to 170,820 and 274,448 is: 440,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,820 : 274,448 = 274,448 : x
  2. Step 2: Convert to fraction form
    170,820/274,448 = 274,448/x
  3. Step 3: Cross multiply
    170,820x = 274,448 × 274,448
  4. Step 4: Simplify right side
    170,820x = 75,321,704,704
  5. Step 5: Solve for x
    x = 75,321,704,704/170,820
  6. Step 6: Final answer
    x = 440,941.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.