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Finding the Third Proportional to 20,078 and 30,060

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Solution

The third proportional to 20,078 and 30,060 is: 45,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078 : 30,060 = 30,060 : x
  2. Step 2: Convert to fraction form
    20,078/30,060 = 30,060/x
  3. Step 3: Cross multiply
    20,078x = 30,060 × 30,060
  4. Step 4: Simplify right side
    20,078x = 903,603,600
  5. Step 5: Solve for x
    x = 903,603,600/20,078
  6. Step 6: Final answer
    x = 45,004.66

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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.