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Finding the Third Proportional to 417,291.75 and 655,310.25

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Solution

The third proportional to 417,291.75 and 655,310.25 is: 1,029,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,291.75 : 655,310.25 = 655,310.25 : x
  2. Step 2: Convert to fraction form
    417,291.75/655,310.25 = 655,310.25/x
  3. Step 3: Cross multiply
    417,291.75x = 655,310.25 × 655,310.25
  4. Step 4: Simplify right side
    417,291.75x = 429,431,523,755.06
  5. Step 5: Solve for x
    x = 429,431,523,755.06/417,291.75
  6. Step 6: Final answer
    x = 1,029,091.81

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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.