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Finding the Third Proportional to 76,689.75 and 117,723

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Solution

The third proportional to 76,689.75 and 117,723 is: 180,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689.75 : 117,723 = 117,723 : x
  2. Step 2: Convert to fraction form
    76,689.75/117,723 = 117,723/x
  3. Step 3: Cross multiply
    76,689.75x = 117,723 × 117,723
  4. Step 4: Simplify right side
    76,689.75x = 13,858,704,729
  5. Step 5: Solve for x
    x = 13,858,704,729/76,689.75
  6. Step 6: Final answer
    x = 180,711.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.