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Finding the Third Proportional to 811,444 and 1,261,418

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Solution

The third proportional to 811,444 and 1,261,418 is: 1,960,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,444 : 1,261,418 = 1,261,418 : x
  2. Step 2: Convert to fraction form
    811,444/1,261,418 = 1,261,418/x
  3. Step 3: Cross multiply
    811,444x = 1,261,418 × 1,261,418
  4. Step 4: Simplify right side
    811,444x = 1,591,175,370,724
  5. Step 5: Solve for x
    x = 1,591,175,370,724/811,444
  6. Step 6: Final answer
    x = 1,960,918.28

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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.