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Finding the Third Proportional to 20,666.81 and 30,954.66

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Solution

The third proportional to 20,666.81 and 30,954.66 is: 46,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.81 : 30,954.66 = 30,954.66 : x
  2. Step 2: Convert to fraction form
    20,666.81/30,954.66 = 30,954.66/x
  3. Step 3: Cross multiply
    20,666.81x = 30,954.66 × 30,954.66
  4. Step 4: Simplify right side
    20,666.81x = 958,190,743.56
  5. Step 5: Solve for x
    x = 958,190,743.56/20,666.81
  6. Step 6: Final answer
    x = 46,363.74

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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.