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Finding the Third Proportional to 20,742.75 and 30,979.13

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Solution

The third proportional to 20,742.75 and 30,979.13 is: 46,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 30,979.13 = 30,979.13 : x
  2. Step 2: Convert to fraction form
    20,742.75/30,979.13 = 30,979.13/x
  3. Step 3: Cross multiply
    20,742.75x = 30,979.13 × 30,979.13
  4. Step 4: Simplify right side
    20,742.75x = 959,706,185.77
  5. Step 5: Solve for x
    x = 959,706,185.77/20,742.75
  6. Step 6: Final answer
    x = 46,267.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.