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Finding the Third Proportional to 161,782 and 248,307

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Solution

The third proportional to 161,782 and 248,307 is: 381,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,782 : 248,307 = 248,307 : x
  2. Step 2: Convert to fraction form
    161,782/248,307 = 248,307/x
  3. Step 3: Cross multiply
    161,782x = 248,307 × 248,307
  4. Step 4: Simplify right side
    161,782x = 61,656,366,249
  5. Step 5: Solve for x
    x = 61,656,366,249/161,782
  6. Step 6: Final answer
    x = 381,107.70

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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.