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Finding the Third Proportional to 131,679.75 and 199,431

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Solution

The third proportional to 131,679.75 and 199,431 is: 302,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,679.75 : 199,431 = 199,431 : x
  2. Step 2: Convert to fraction form
    131,679.75/199,431 = 199,431/x
  3. Step 3: Cross multiply
    131,679.75x = 199,431 × 199,431
  4. Step 4: Simplify right side
    131,679.75x = 39,772,723,761
  5. Step 5: Solve for x
    x = 39,772,723,761/131,679.75
  6. Step 6: Final answer
    x = 302,041.31

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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.