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Finding the Third Proportional to 819,132 and 1,282,206

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Solution

The third proportional to 819,132 and 1,282,206 is: 2,007,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,132 : 1,282,206 = 1,282,206 : x
  2. Step 2: Convert to fraction form
    819,132/1,282,206 = 1,282,206/x
  3. Step 3: Cross multiply
    819,132x = 1,282,206 × 1,282,206
  4. Step 4: Simplify right side
    819,132x = 1,644,052,226,436
  5. Step 5: Solve for x
    x = 1,644,052,226,436/819,132
  6. Step 6: Final answer
    x = 2,007,066.29

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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.