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Finding the Third Proportional to 161,819 and 251,249

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Solution

The third proportional to 161,819 and 251,249 is: 390,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,819 : 251,249 = 251,249 : x
  2. Step 2: Convert to fraction form
    161,819/251,249 = 251,249/x
  3. Step 3: Cross multiply
    161,819x = 251,249 × 251,249
  4. Step 4: Simplify right side
    161,819x = 63,126,060,001
  5. Step 5: Solve for x
    x = 63,126,060,001/161,819
  6. Step 6: Final answer
    x = 390,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.