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Finding the Third Proportional to 112,720 and 165,816

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Solution

The third proportional to 112,720 and 165,816 is: 243,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,720 : 165,816 = 165,816 : x
  2. Step 2: Convert to fraction form
    112,720/165,816 = 165,816/x
  3. Step 3: Cross multiply
    112,720x = 165,816 × 165,816
  4. Step 4: Simplify right side
    112,720x = 27,494,945,856
  5. Step 5: Solve for x
    x = 27,494,945,856/112,720
  6. Step 6: Final answer
    x = 243,922.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.