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Finding the Third Proportional to 202,208 and 309,748

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Solution

The third proportional to 202,208 and 309,748 is: 474,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 309,748 = 309,748 : x
  2. Step 2: Convert to fraction form
    202,208/309,748 = 309,748/x
  3. Step 3: Cross multiply
    202,208x = 309,748 × 309,748
  4. Step 4: Simplify right side
    202,208x = 95,943,823,504
  5. Step 5: Solve for x
    x = 95,943,823,504/202,208
  6. Step 6: Final answer
    x = 474,480.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.