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Finding the Third Proportional to 40,328 and 85,840

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Solution

The third proportional to 40,328 and 85,840 is: 182,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,328 : 85,840 = 85,840 : x
  2. Step 2: Convert to fraction form
    40,328/85,840 = 85,840/x
  3. Step 3: Cross multiply
    40,328x = 85,840 × 85,840
  4. Step 4: Simplify right side
    40,328x = 7,368,505,600
  5. Step 5: Solve for x
    x = 7,368,505,600/40,328
  6. Step 6: Final answer
    x = 182,714.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.