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Finding the Third Proportional to 322,545 and 512,419

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Solution

The third proportional to 322,545 and 512,419 is: 814,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,545 : 512,419 = 512,419 : x
  2. Step 2: Convert to fraction form
    322,545/512,419 = 512,419/x
  3. Step 3: Cross multiply
    322,545x = 512,419 × 512,419
  4. Step 4: Simplify right side
    322,545x = 262,573,231,561
  5. Step 5: Solve for x
    x = 262,573,231,561/322,545
  6. Step 6: Final answer
    x = 814,066.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.