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Finding the Third Proportional to 222,790.50 and 347,854.50

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Solution

The third proportional to 222,790.50 and 347,854.50 is: 543,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,790.50 : 347,854.50 = 347,854.50 : x
  2. Step 2: Convert to fraction form
    222,790.50/347,854.50 = 347,854.50/x
  3. Step 3: Cross multiply
    222,790.50x = 347,854.50 × 347,854.50
  4. Step 4: Simplify right side
    222,790.50x = 121,002,753,170.25
  5. Step 5: Solve for x
    x = 121,002,753,170.25/222,790.50
  6. Step 6: Final answer
    x = 543,123.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.