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Finding the Third Proportional to 53,800.50 and 111,471

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Solution

The third proportional to 53,800.50 and 111,471 is: 230,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800.50 : 111,471 = 111,471 : x
  2. Step 2: Convert to fraction form
    53,800.50/111,471 = 111,471/x
  3. Step 3: Cross multiply
    53,800.50x = 111,471 × 111,471
  4. Step 4: Simplify right side
    53,800.50x = 12,425,783,841
  5. Step 5: Solve for x
    x = 12,425,783,841/53,800.50
  6. Step 6: Final answer
    x = 230,960.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.