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Finding the Third Proportional to 53,739 and 118,215

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Solution

The third proportional to 53,739 and 118,215 is: 260,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,739 : 118,215 = 118,215 : x
  2. Step 2: Convert to fraction form
    53,739/118,215 = 118,215/x
  3. Step 3: Cross multiply
    53,739x = 118,215 × 118,215
  4. Step 4: Simplify right side
    53,739x = 13,974,786,225
  5. Step 5: Solve for x
    x = 13,974,786,225/53,739
  6. Step 6: Final answer
    x = 260,049.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.