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Finding the Third Proportional to 140,199.50 and 211,971.50

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Solution

The third proportional to 140,199.50 and 211,971.50 is: 320,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,199.50 : 211,971.50 = 211,971.50 : x
  2. Step 2: Convert to fraction form
    140,199.50/211,971.50 = 211,971.50/x
  3. Step 3: Cross multiply
    140,199.50x = 211,971.50 × 211,971.50
  4. Step 4: Simplify right side
    140,199.50x = 44,931,916,812.25
  5. Step 5: Solve for x
    x = 44,931,916,812.25/140,199.50
  6. Step 6: Final answer
    x = 320,485.57

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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.