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Finding the Third Proportional to 39,828 and 84,840

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Solution

The third proportional to 39,828 and 84,840 is: 180,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,828 : 84,840 = 84,840 : x
  2. Step 2: Convert to fraction form
    39,828/84,840 = 84,840/x
  3. Step 3: Cross multiply
    39,828x = 84,840 × 84,840
  4. Step 4: Simplify right side
    39,828x = 7,197,825,600
  5. Step 5: Solve for x
    x = 7,197,825,600/39,828
  6. Step 6: Final answer
    x = 180,722.75

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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.