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Finding the Third Proportional to 40,384 and 85,696

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Solution

The third proportional to 40,384 and 85,696 is: 181,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,384 : 85,696 = 85,696 : x
  2. Step 2: Convert to fraction form
    40,384/85,696 = 85,696/x
  3. Step 3: Cross multiply
    40,384x = 85,696 × 85,696
  4. Step 4: Simplify right side
    40,384x = 7,343,804,416
  5. Step 5: Solve for x
    x = 7,343,804,416/40,384
  6. Step 6: Final answer
    x = 181,849.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.