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Finding the Third Proportional to 142,519.50 and 200,515.50

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Solution

The third proportional to 142,519.50 and 200,515.50 is: 282,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,519.50 : 200,515.50 = 200,515.50 : x
  2. Step 2: Convert to fraction form
    142,519.50/200,515.50 = 200,515.50/x
  3. Step 3: Cross multiply
    142,519.50x = 200,515.50 × 200,515.50
  4. Step 4: Simplify right side
    142,519.50x = 40,206,465,740.25
  5. Step 5: Solve for x
    x = 40,206,465,740.25/142,519.50
  6. Step 6: Final answer
    x = 282,112.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.