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Finding the Third Proportional to 19,986.75 and 29,251.13

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Solution

The third proportional to 19,986.75 and 29,251.13 is: 42,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.75 : 29,251.13 = 29,251.13 : x
  2. Step 2: Convert to fraction form
    19,986.75/29,251.13 = 29,251.13/x
  3. Step 3: Cross multiply
    19,986.75x = 29,251.13 × 29,251.13
  4. Step 4: Simplify right side
    19,986.75x = 855,628,313.77
  5. Step 5: Solve for x
    x = 855,628,313.77/19,986.75
  6. Step 6: Final answer
    x = 42,809.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.