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Finding the Third Proportional to 20,972 and 45,634

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Solution

The third proportional to 20,972 and 45,634 is: 99,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972 : 45,634 = 45,634 : x
  2. Step 2: Convert to fraction form
    20,972/45,634 = 45,634/x
  3. Step 3: Cross multiply
    20,972x = 45,634 × 45,634
  4. Step 4: Simplify right side
    20,972x = 2,082,461,956
  5. Step 5: Solve for x
    x = 2,082,461,956/20,972
  6. Step 6: Final answer
    x = 99,297.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.