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Finding the Third Proportional to 422,869 and 655,784

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Solution

The third proportional to 422,869 and 655,784 is: 1,016,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,869 : 655,784 = 655,784 : x
  2. Step 2: Convert to fraction form
    422,869/655,784 = 655,784/x
  3. Step 3: Cross multiply
    422,869x = 655,784 × 655,784
  4. Step 4: Simplify right side
    422,869x = 430,052,654,656
  5. Step 5: Solve for x
    x = 430,052,654,656/422,869
  6. Step 6: Final answer
    x = 1,016,987.90

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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.