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Finding the Third Proportional to 422,979.75 and 655,269.75

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Solution

The third proportional to 422,979.75 and 655,269.75 is: 1,015,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,979.75 : 655,269.75 = 655,269.75 : x
  2. Step 2: Convert to fraction form
    422,979.75/655,269.75 = 655,269.75/x
  3. Step 3: Cross multiply
    422,979.75x = 655,269.75 × 655,269.75
  4. Step 4: Simplify right side
    422,979.75x = 429,378,445,265.06
  5. Step 5: Solve for x
    x = 429,378,445,265.06/422,979.75
  6. Step 6: Final answer
    x = 1,015,127.66

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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.