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Finding the Third Proportional to 76,848 and 115,272

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Solution

The third proportional to 76,848 and 115,272 is: 172,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,848 : 115,272 = 115,272 : x
  2. Step 2: Convert to fraction form
    76,848/115,272 = 115,272/x
  3. Step 3: Cross multiply
    76,848x = 115,272 × 115,272
  4. Step 4: Simplify right side
    76,848x = 13,287,633,984
  5. Step 5: Solve for x
    x = 13,287,633,984/76,848
  6. Step 6: Final answer
    x = 172,908

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.