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Finding the Third Proportional to 77,856 and 171,264

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Solution

The third proportional to 77,856 and 171,264 is: 376,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856 : 171,264 = 171,264 : x
  2. Step 2: Convert to fraction form
    77,856/171,264 = 171,264/x
  3. Step 3: Cross multiply
    77,856x = 171,264 × 171,264
  4. Step 4: Simplify right side
    77,856x = 29,331,357,696
  5. Step 5: Solve for x
    x = 29,331,357,696/77,856
  6. Step 6: Final answer
    x = 376,738.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.