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Finding the Third Proportional to 121,249 and 285,817

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Solution

The third proportional to 121,249 and 285,817 is: 673,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,249 : 285,817 = 285,817 : x
  2. Step 2: Convert to fraction form
    121,249/285,817 = 285,817/x
  3. Step 3: Cross multiply
    121,249x = 285,817 × 285,817
  4. Step 4: Simplify right side
    121,249x = 81,691,357,489
  5. Step 5: Solve for x
    x = 81,691,357,489/121,249
  6. Step 6: Final answer
    x = 673,748.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.