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Finding the Third Proportional to 422,850.38 and 655,758.28

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Solution

The third proportional to 422,850.38 and 655,758.28 is: 1,016,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,850.38 : 655,758.28 = 655,758.28 : x
  2. Step 2: Convert to fraction form
    422,850.38/655,758.28 = 655,758.28/x
  3. Step 3: Cross multiply
    422,850.38x = 655,758.28 × 655,758.28
  4. Step 4: Simplify right side
    422,850.38x = 430,018,923,427.95
  5. Step 5: Solve for x
    x = 430,018,923,427.95/422,850.38
  6. Step 6: Final answer
    x = 1,016,952.92

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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.