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Finding the Third Proportional to 161,815 and 251,243

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Solution

The third proportional to 161,815 and 251,243 is: 390,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,815 : 251,243 = 251,243 : x
  2. Step 2: Convert to fraction form
    161,815/251,243 = 251,243/x
  3. Step 3: Cross multiply
    161,815x = 251,243 × 251,243
  4. Step 4: Simplify right side
    161,815x = 63,123,045,049
  5. Step 5: Solve for x
    x = 63,123,045,049/161,815
  6. Step 6: Final answer
    x = 390,093.90

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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.