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Finding the Third Proportional to 43,782 and 96,072

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Solution

The third proportional to 43,782 and 96,072 is: 210,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782 : 96,072 = 96,072 : x
  2. Step 2: Convert to fraction form
    43,782/96,072 = 96,072/x
  3. Step 3: Cross multiply
    43,782x = 96,072 × 96,072
  4. Step 4: Simplify right side
    43,782x = 9,229,829,184
  5. Step 5: Solve for x
    x = 9,229,829,184/43,782
  6. Step 6: Final answer
    x = 210,813.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.