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Finding the Third Proportional to 159,721 and 247,276

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Solution

The third proportional to 159,721 and 247,276 is: 382,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,721 : 247,276 = 247,276 : x
  2. Step 2: Convert to fraction form
    159,721/247,276 = 247,276/x
  3. Step 3: Cross multiply
    159,721x = 247,276 × 247,276
  4. Step 4: Simplify right side
    159,721x = 61,145,420,176
  5. Step 5: Solve for x
    x = 61,145,420,176/159,721
  6. Step 6: Final answer
    x = 382,826.43

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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.