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Finding the Third Proportional to 77,751.75 and 143,823

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Solution

The third proportional to 77,751.75 and 143,823 is: 266,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,751.75 : 143,823 = 143,823 : x
  2. Step 2: Convert to fraction form
    77,751.75/143,823 = 143,823/x
  3. Step 3: Cross multiply
    77,751.75x = 143,823 × 143,823
  4. Step 4: Simplify right side
    77,751.75x = 20,685,055,329
  5. Step 5: Solve for x
    x = 20,685,055,329/77,751.75
  6. Step 6: Final answer
    x = 266,039.74

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.