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Finding the Third Proportional to 144,544.50 and 222,453

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Solution

The third proportional to 144,544.50 and 222,453 is: 342,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,544.50 : 222,453 = 222,453 : x
  2. Step 2: Convert to fraction form
    144,544.50/222,453 = 222,453/x
  3. Step 3: Cross multiply
    144,544.50x = 222,453 × 222,453
  4. Step 4: Simplify right side
    144,544.50x = 49,485,337,209
  5. Step 5: Solve for x
    x = 49,485,337,209/144,544.50
  6. Step 6: Final answer
    x = 342,353.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.