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Finding the Third Proportional to 20,130.75 and 30,216.38

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Solution

The third proportional to 20,130.75 and 30,216.38 is: 45,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.75 : 30,216.38 = 30,216.38 : x
  2. Step 2: Convert to fraction form
    20,130.75/30,216.38 = 30,216.38/x
  3. Step 3: Cross multiply
    20,130.75x = 30,216.38 × 30,216.38
  4. Step 4: Simplify right side
    20,130.75x = 913,029,318.14
  5. Step 5: Solve for x
    x = 913,029,318.14/20,130.75
  6. Step 6: Final answer
    x = 45,354.96

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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.