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Finding the Third Proportional to 142,197.75 and 301,891.50

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Solution

The third proportional to 142,197.75 and 301,891.50 is: 640,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,197.75 : 301,891.50 = 301,891.50 : x
  2. Step 2: Convert to fraction form
    142,197.75/301,891.50 = 301,891.50/x
  3. Step 3: Cross multiply
    142,197.75x = 301,891.50 × 301,891.50
  4. Step 4: Simplify right side
    142,197.75x = 91,138,477,772.25
  5. Step 5: Solve for x
    x = 91,138,477,772.25/142,197.75
  6. Step 6: Final answer
    x = 640,927.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.