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Finding the Third Proportional to 40,788 and 84,196

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Solution

The third proportional to 40,788 and 84,196 is: 173,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,788 : 84,196 = 84,196 : x
  2. Step 2: Convert to fraction form
    40,788/84,196 = 84,196/x
  3. Step 3: Cross multiply
    40,788x = 84,196 × 84,196
  4. Step 4: Simplify right side
    40,788x = 7,088,966,416
  5. Step 5: Solve for x
    x = 7,088,966,416/40,788
  6. Step 6: Final answer
    x = 173,800.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.