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Finding the Third Proportional to 811,478 and 1,261,419

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Solution

The third proportional to 811,478 and 1,261,419 is: 1,960,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,478 : 1,261,419 = 1,261,419 : x
  2. Step 2: Convert to fraction form
    811,478/1,261,419 = 1,261,419/x
  3. Step 3: Cross multiply
    811,478x = 1,261,419 × 1,261,419
  4. Step 4: Simplify right side
    811,478x = 1,591,177,893,561
  5. Step 5: Solve for x
    x = 1,591,177,893,561/811,478
  6. Step 6: Final answer
    x = 1,960,839.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.