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Finding the Third Proportional to 77,872 and 118,736

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Solution

The third proportional to 77,872 and 118,736 is: 181,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,872 : 118,736 = 118,736 : x
  2. Step 2: Convert to fraction form
    77,872/118,736 = 118,736/x
  3. Step 3: Cross multiply
    77,872x = 118,736 × 118,736
  4. Step 4: Simplify right side
    77,872x = 14,098,237,696
  5. Step 5: Solve for x
    x = 14,098,237,696/77,872
  6. Step 6: Final answer
    x = 181,043.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.