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Finding the Third Proportional to 161,814 and 251,241

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Solution

The third proportional to 161,814 and 251,241 is: 390,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,814 : 251,241 = 251,241 : x
  2. Step 2: Convert to fraction form
    161,814/251,241 = 251,241/x
  3. Step 3: Cross multiply
    161,814x = 251,241 × 251,241
  4. Step 4: Simplify right side
    161,814x = 63,122,040,081
  5. Step 5: Solve for x
    x = 63,122,040,081/161,814
  6. Step 6: Final answer
    x = 390,090.10

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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.