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Finding the Third Proportional to 77,968 and 117,624

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Solution

The third proportional to 77,968 and 117,624 is: 177,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,968 : 117,624 = 117,624 : x
  2. Step 2: Convert to fraction form
    77,968/117,624 = 117,624/x
  3. Step 3: Cross multiply
    77,968x = 117,624 × 117,624
  4. Step 4: Simplify right side
    77,968x = 13,835,405,376
  5. Step 5: Solve for x
    x = 13,835,405,376/77,968
  6. Step 6: Final answer
    x = 177,449.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.