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Finding the Third Proportional to 142,497 and 222,369.75

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Solution

The third proportional to 142,497 and 222,369.75 is: 347,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,497 : 222,369.75 = 222,369.75 : x
  2. Step 2: Convert to fraction form
    142,497/222,369.75 = 222,369.75/x
  3. Step 3: Cross multiply
    142,497x = 222,369.75 × 222,369.75
  4. Step 4: Simplify right side
    142,497x = 49,448,305,715.06
  5. Step 5: Solve for x
    x = 49,448,305,715.06/142,497
  6. Step 6: Final answer
    x = 347,012.96

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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.