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Finding the Third Proportional to 20,151 and 30,078

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Solution

The third proportional to 20,151 and 30,078 is: 44,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151 : 30,078 = 30,078 : x
  2. Step 2: Convert to fraction form
    20,151/30,078 = 30,078/x
  3. Step 3: Cross multiply
    20,151x = 30,078 × 30,078
  4. Step 4: Simplify right side
    20,151x = 904,686,084
  5. Step 5: Solve for x
    x = 904,686,084/20,151
  6. Step 6: Final answer
    x = 44,895.34

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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.