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Finding the Third Proportional to 76,986 and 115,704

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Solution

The third proportional to 76,986 and 115,704 is: 173,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986 : 115,704 = 115,704 : x
  2. Step 2: Convert to fraction form
    76,986/115,704 = 115,704/x
  3. Step 3: Cross multiply
    76,986x = 115,704 × 115,704
  4. Step 4: Simplify right side
    76,986x = 13,387,415,616
  5. Step 5: Solve for x
    x = 13,387,415,616/76,986
  6. Step 6: Final answer
    x = 173,894.16

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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.