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Finding the Third Proportional to 202,074 and 309,249

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Solution

The third proportional to 202,074 and 309,249 is: 473,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074 : 309,249 = 309,249 : x
  2. Step 2: Convert to fraction form
    202,074/309,249 = 309,249/x
  3. Step 3: Cross multiply
    202,074x = 309,249 × 309,249
  4. Step 4: Simplify right side
    202,074x = 95,634,944,001
  5. Step 5: Solve for x
    x = 95,634,944,001/202,074
  6. Step 6: Final answer
    x = 473,266.94

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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.