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Finding the Third Proportional to 13,284.32 and 19,939.29

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Solution

The third proportional to 13,284.32 and 19,939.29 is: 29,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.32 : 19,939.29 = 19,939.29 : x
  2. Step 2: Convert to fraction form
    13,284.32/19,939.29 = 19,939.29/x
  3. Step 3: Cross multiply
    13,284.32x = 19,939.29 × 19,939.29
  4. Step 4: Simplify right side
    13,284.32x = 397,575,248.32
  5. Step 5: Solve for x
    x = 397,575,248.32/13,284.32
  6. Step 6: Final answer
    x = 29,928.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.