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Finding the Third Proportional to 20,915 and 45,977

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Solution

The third proportional to 20,915 and 45,977 is: 101,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915 : 45,977 = 45,977 : x
  2. Step 2: Convert to fraction form
    20,915/45,977 = 45,977/x
  3. Step 3: Cross multiply
    20,915x = 45,977 × 45,977
  4. Step 4: Simplify right side
    20,915x = 2,113,884,529
  5. Step 5: Solve for x
    x = 2,113,884,529/20,915
  6. Step 6: Final answer
    x = 101,070.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.