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Finding the Third Proportional to 140,199.75 and 211,972.50

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Solution

The third proportional to 140,199.75 and 211,972.50 is: 320,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,199.75 : 211,972.50 = 211,972.50 : x
  2. Step 2: Convert to fraction form
    140,199.75/211,972.50 = 211,972.50/x
  3. Step 3: Cross multiply
    140,199.75x = 211,972.50 × 211,972.50
  4. Step 4: Simplify right side
    140,199.75x = 44,932,340,756.25
  5. Step 5: Solve for x
    x = 44,932,340,756.25/140,199.75
  6. Step 6: Final answer
    x = 320,488.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.