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Finding the Third Proportional to 39,723 and 85,840

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Solution

The third proportional to 39,723 and 85,840 is: 185,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723 : 85,840 = 85,840 : x
  2. Step 2: Convert to fraction form
    39,723/85,840 = 85,840/x
  3. Step 3: Cross multiply
    39,723x = 85,840 × 85,840
  4. Step 4: Simplify right side
    39,723x = 7,368,505,600
  5. Step 5: Solve for x
    x = 7,368,505,600/39,723
  6. Step 6: Final answer
    x = 185,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.