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Finding the Third Proportional to 75,786 and 113,677

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Solution

The third proportional to 75,786 and 113,677 is: 170,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 113,677 = 113,677 : x
  2. Step 2: Convert to fraction form
    75,786/113,677 = 113,677/x
  3. Step 3: Cross multiply
    75,786x = 113,677 × 113,677
  4. Step 4: Simplify right side
    75,786x = 12,922,460,329
  5. Step 5: Solve for x
    x = 12,922,460,329/75,786
  6. Step 6: Final answer
    x = 170,512.50

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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.