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Finding the Third Proportional to 431,516 and 675,449

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Solution

The third proportional to 431,516 and 675,449 is: 1,057,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,516 : 675,449 = 675,449 : x
  2. Step 2: Convert to fraction form
    431,516/675,449 = 675,449/x
  3. Step 3: Cross multiply
    431,516x = 675,449 × 675,449
  4. Step 4: Simplify right side
    431,516x = 456,231,351,601
  5. Step 5: Solve for x
    x = 456,231,351,601/431,516
  6. Step 6: Final answer
    x = 1,057,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.