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Finding the Third Proportional to 19,987.50 and 43,431

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Solution

The third proportional to 19,987.50 and 43,431 is: 94,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.50 : 43,431 = 43,431 : x
  2. Step 2: Convert to fraction form
    19,987.50/43,431 = 43,431/x
  3. Step 3: Cross multiply
    19,987.50x = 43,431 × 43,431
  4. Step 4: Simplify right side
    19,987.50x = 1,886,251,761
  5. Step 5: Solve for x
    x = 1,886,251,761/19,987.50
  6. Step 6: Final answer
    x = 94,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.