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Finding the Third Proportional to 222,441.19 and 344,720.81

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Solution

The third proportional to 222,441.19 and 344,720.81 is: 534,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,441.19 : 344,720.81 = 344,720.81 : x
  2. Step 2: Convert to fraction form
    222,441.19/344,720.81 = 344,720.81/x
  3. Step 3: Cross multiply
    222,441.19x = 344,720.81 × 344,720.81
  4. Step 4: Simplify right side
    222,441.19x = 118,832,438,570.66
  5. Step 5: Solve for x
    x = 118,832,438,570.66/222,441.19
  6. Step 6: Final answer
    x = 534,219.58

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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.