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Finding the Third Proportional to 75,774 and 115,967

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Solution

The third proportional to 75,774 and 115,967 is: 177,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774 : 115,967 = 115,967 : x
  2. Step 2: Convert to fraction form
    75,774/115,967 = 115,967/x
  3. Step 3: Cross multiply
    75,774x = 115,967 × 115,967
  4. Step 4: Simplify right side
    75,774x = 13,448,345,089
  5. Step 5: Solve for x
    x = 13,448,345,089/75,774
  6. Step 6: Final answer
    x = 177,479.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.