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Finding the Third Proportional to 20,617 and 45,972

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Solution

The third proportional to 20,617 and 45,972 is: 102,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 45,972 = 45,972 : x
  2. Step 2: Convert to fraction form
    20,617/45,972 = 45,972/x
  3. Step 3: Cross multiply
    20,617x = 45,972 × 45,972
  4. Step 4: Simplify right side
    20,617x = 2,113,424,784
  5. Step 5: Solve for x
    x = 2,113,424,784/20,617
  6. Step 6: Final answer
    x = 102,508.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.