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Finding the Third Proportional to 20,905 and 45,218

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Solution

The third proportional to 20,905 and 45,218 is: 97,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905 : 45,218 = 45,218 : x
  2. Step 2: Convert to fraction form
    20,905/45,218 = 45,218/x
  3. Step 3: Cross multiply
    20,905x = 45,218 × 45,218
  4. Step 4: Simplify right side
    20,905x = 2,044,667,524
  5. Step 5: Solve for x
    x = 2,044,667,524/20,905
  6. Step 6: Final answer
    x = 97,807.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.