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Finding the Third Proportional to 38,992 and 83,840

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Solution

The third proportional to 38,992 and 83,840 is: 180,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992 : 83,840 = 83,840 : x
  2. Step 2: Convert to fraction form
    38,992/83,840 = 83,840/x
  3. Step 3: Cross multiply
    38,992x = 83,840 × 83,840
  4. Step 4: Simplify right side
    38,992x = 7,029,145,600
  5. Step 5: Solve for x
    x = 7,029,145,600/38,992
  6. Step 6: Final answer
    x = 180,271.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.