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Finding the Third Proportional to 819,464 and 1,282,661

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Solution

The third proportional to 819,464 and 1,282,661 is: 2,007,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,464 : 1,282,661 = 1,282,661 : x
  2. Step 2: Convert to fraction form
    819,464/1,282,661 = 1,282,661/x
  3. Step 3: Cross multiply
    819,464x = 1,282,661 × 1,282,661
  4. Step 4: Simplify right side
    819,464x = 1,645,219,240,921
  5. Step 5: Solve for x
    x = 1,645,219,240,921/819,464
  6. Step 6: Final answer
    x = 2,007,677.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.