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Finding the Third Proportional to 222,601.50 and 311,384.25

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Solution

The third proportional to 222,601.50 and 311,384.25 is: 435,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,601.50 : 311,384.25 = 311,384.25 : x
  2. Step 2: Convert to fraction form
    222,601.50/311,384.25 = 311,384.25/x
  3. Step 3: Cross multiply
    222,601.50x = 311,384.25 × 311,384.25
  4. Step 4: Simplify right side
    222,601.50x = 96,960,151,148.06
  5. Step 5: Solve for x
    x = 96,960,151,148.06/222,601.50
  6. Step 6: Final answer
    x = 435,577.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.