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Finding the Third Proportional to 408,018 and 674,275

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Solution

The third proportional to 408,018 and 674,275 is: 1,114,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,018 : 674,275 = 674,275 : x
  2. Step 2: Convert to fraction form
    408,018/674,275 = 674,275/x
  3. Step 3: Cross multiply
    408,018x = 674,275 × 674,275
  4. Step 4: Simplify right side
    408,018x = 454,646,775,625
  5. Step 5: Solve for x
    x = 454,646,775,625/408,018
  6. Step 6: Final answer
    x = 1,114,281.17

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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.