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Finding the Third Proportional to 77,860 and 171,272

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Solution

The third proportional to 77,860 and 171,272 is: 376,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,860 : 171,272 = 171,272 : x
  2. Step 2: Convert to fraction form
    77,860/171,272 = 171,272/x
  3. Step 3: Cross multiply
    77,860x = 171,272 × 171,272
  4. Step 4: Simplify right side
    77,860x = 29,334,097,984
  5. Step 5: Solve for x
    x = 29,334,097,984/77,860
  6. Step 6: Final answer
    x = 376,754.41

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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.