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Finding the Third Proportional to 408,020 and 674,278

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Solution

The third proportional to 408,020 and 674,278 is: 1,114,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020 : 674,278 = 674,278 : x
  2. Step 2: Convert to fraction form
    408,020/674,278 = 674,278/x
  3. Step 3: Cross multiply
    408,020x = 674,278 × 674,278
  4. Step 4: Simplify right side
    408,020x = 454,650,821,284
  5. Step 5: Solve for x
    x = 454,650,821,284/408,020
  6. Step 6: Final answer
    x = 1,114,285.63

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.