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Finding the Third Proportional to 222,406.50 and 344,248.50

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Solution

The third proportional to 222,406.50 and 344,248.50 is: 532,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,406.50 : 344,248.50 = 344,248.50 : x
  2. Step 2: Convert to fraction form
    222,406.50/344,248.50 = 344,248.50/x
  3. Step 3: Cross multiply
    222,406.50x = 344,248.50 × 344,248.50
  4. Step 4: Simplify right side
    222,406.50x = 118,507,029,752.25
  5. Step 5: Solve for x
    x = 118,507,029,752.25/222,406.50
  6. Step 6: Final answer
    x = 532,839.78

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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.