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Finding the Third Proportional to 188,635.50 and 285,391.69

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Solution

The third proportional to 188,635.50 and 285,391.69 is: 431,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,635.50 : 285,391.69 = 285,391.69 : x
  2. Step 2: Convert to fraction form
    188,635.50/285,391.69 = 285,391.69/x
  3. Step 3: Cross multiply
    188,635.50x = 285,391.69 × 285,391.69
  4. Step 4: Simplify right side
    188,635.50x = 81,448,415,294.10
  5. Step 5: Solve for x
    x = 81,448,415,294.10/188,635.50
  6. Step 6: Final answer
    x = 431,776.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.