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Finding the Third Proportional to 431,449 and 675,341

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Solution

The third proportional to 431,449 and 675,341 is: 1,057,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,449 : 675,341 = 675,341 : x
  2. Step 2: Convert to fraction form
    431,449/675,341 = 675,341/x
  3. Step 3: Cross multiply
    431,449x = 675,341 × 675,341
  4. Step 4: Simplify right side
    431,449x = 456,085,466,281
  5. Step 5: Solve for x
    x = 456,085,466,281/431,449
  6. Step 6: Final answer
    x = 1,057,101.69

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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.