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Finding the Third Proportional to 40,705 and 84,831

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Solution

The third proportional to 40,705 and 84,831 is: 176,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,705 : 84,831 = 84,831 : x
  2. Step 2: Convert to fraction form
    40,705/84,831 = 84,831/x
  3. Step 3: Cross multiply
    40,705x = 84,831 × 84,831
  4. Step 4: Simplify right side
    40,705x = 7,196,298,561
  5. Step 5: Solve for x
    x = 7,196,298,561/40,705
  6. Step 6: Final answer
    x = 176,791.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.