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Finding the Third Proportional to 202,917 and 272,208

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Solution

The third proportional to 202,917 and 272,208 is: 365,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917 : 272,208 = 272,208 : x
  2. Step 2: Convert to fraction form
    202,917/272,208 = 272,208/x
  3. Step 3: Cross multiply
    202,917x = 272,208 × 272,208
  4. Step 4: Simplify right side
    202,917x = 74,097,195,264
  5. Step 5: Solve for x
    x = 74,097,195,264/202,917
  6. Step 6: Final answer
    x = 365,160.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.