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Finding the Third Proportional to 187,722.56 and 290,696.34

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Solution

The third proportional to 187,722.56 and 290,696.34 is: 450,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,722.56 : 290,696.34 = 290,696.34 : x
  2. Step 2: Convert to fraction form
    187,722.56/290,696.34 = 290,696.34/x
  3. Step 3: Cross multiply
    187,722.56x = 290,696.34 × 290,696.34
  4. Step 4: Simplify right side
    187,722.56x = 84,504,364,269.62
  5. Step 5: Solve for x
    x = 84,504,364,269.62/187,722.56
  6. Step 6: Final answer
    x = 450,155.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.