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Finding the Third Proportional to 342,518 and 454,481

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Solution

The third proportional to 342,518 and 454,481 is: 603,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,518 : 454,481 = 454,481 : x
  2. Step 2: Convert to fraction form
    342,518/454,481 = 454,481/x
  3. Step 3: Cross multiply
    342,518x = 454,481 × 454,481
  4. Step 4: Simplify right side
    342,518x = 206,552,979,361
  5. Step 5: Solve for x
    x = 206,552,979,361/342,518
  6. Step 6: Final answer
    x = 603,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.