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Finding the Third Proportional to 205,720 and 313,314

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Solution

The third proportional to 205,720 and 313,314 is: 477,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720 : 313,314 = 313,314 : x
  2. Step 2: Convert to fraction form
    205,720/313,314 = 313,314/x
  3. Step 3: Cross multiply
    205,720x = 313,314 × 313,314
  4. Step 4: Simplify right side
    205,720x = 98,165,662,596
  5. Step 5: Solve for x
    x = 98,165,662,596/205,720
  6. Step 6: Final answer
    x = 477,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.