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Finding the Third Proportional to 20,102 and 30,972

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Solution

The third proportional to 20,102 and 30,972 is: 47,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 30,972 = 30,972 : x
  2. Step 2: Convert to fraction form
    20,102/30,972 = 30,972/x
  3. Step 3: Cross multiply
    20,102x = 30,972 × 30,972
  4. Step 4: Simplify right side
    20,102x = 959,264,784
  5. Step 5: Solve for x
    x = 959,264,784/20,102
  6. Step 6: Final answer
    x = 47,719.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.