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Finding the Third Proportional to 811,631 and 1,261,655

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Solution

The third proportional to 811,631 and 1,261,655 is: 1,961,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,631 : 1,261,655 = 1,261,655 : x
  2. Step 2: Convert to fraction form
    811,631/1,261,655 = 1,261,655/x
  3. Step 3: Cross multiply
    811,631x = 1,261,655 × 1,261,655
  4. Step 4: Simplify right side
    811,631x = 1,591,773,339,025
  5. Step 5: Solve for x
    x = 1,591,773,339,025/811,631
  6. Step 6: Final answer
    x = 1,961,203.23

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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.