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Finding the Third Proportional to 422,478 and 655,359.75

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Solution

The third proportional to 422,478 and 655,359.75 is: 1,016,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,478 : 655,359.75 = 655,359.75 : x
  2. Step 2: Convert to fraction form
    422,478/655,359.75 = 655,359.75/x
  3. Step 3: Cross multiply
    422,478x = 655,359.75 × 655,359.75
  4. Step 4: Simplify right side
    422,478x = 429,496,401,920.06
  5. Step 5: Solve for x
    x = 429,496,401,920.06/422,478
  6. Step 6: Final answer
    x = 1,016,612.47

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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.