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Finding the Third Proportional to 811,476 and 1,261,416

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Solution

The third proportional to 811,476 and 1,261,416 is: 1,960,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,476 : 1,261,416 = 1,261,416 : x
  2. Step 2: Convert to fraction form
    811,476/1,261,416 = 1,261,416/x
  3. Step 3: Cross multiply
    811,476x = 1,261,416 × 1,261,416
  4. Step 4: Simplify right side
    811,476x = 1,591,170,325,056
  5. Step 5: Solve for x
    x = 1,591,170,325,056/811,476
  6. Step 6: Final answer
    x = 1,960,834.73

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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.