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Finding the Third Proportional to 142,392.75 and 303,190.50

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Solution

The third proportional to 142,392.75 and 303,190.50 is: 645,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392.75 : 303,190.50 = 303,190.50 : x
  2. Step 2: Convert to fraction form
    142,392.75/303,190.50 = 303,190.50/x
  3. Step 3: Cross multiply
    142,392.75x = 303,190.50 × 303,190.50
  4. Step 4: Simplify right side
    142,392.75x = 91,924,479,290.25
  5. Step 5: Solve for x
    x = 91,924,479,290.25/142,392.75
  6. Step 6: Final answer
    x = 645,569.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.