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Finding the Third Proportional to 68,721.75 and 110,890.69

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Solution

The third proportional to 68,721.75 and 110,890.69 is: 178,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,721.75 : 110,890.69 = 110,890.69 : x
  2. Step 2: Convert to fraction form
    68,721.75/110,890.69 = 110,890.69/x
  3. Step 3: Cross multiply
    68,721.75x = 110,890.69 × 110,890.69
  4. Step 4: Simplify right side
    68,721.75x = 12,296,744,574.22
  5. Step 5: Solve for x
    x = 12,296,744,574.22/68,721.75
  6. Step 6: Final answer
    x = 178,935.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.