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Finding the Third Proportional to 20,945 and 45,583

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Solution

The third proportional to 20,945 and 45,583 is: 99,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945 : 45,583 = 45,583 : x
  2. Step 2: Convert to fraction form
    20,945/45,583 = 45,583/x
  3. Step 3: Cross multiply
    20,945x = 45,583 × 45,583
  4. Step 4: Simplify right side
    20,945x = 2,077,809,889
  5. Step 5: Solve for x
    x = 2,077,809,889/20,945
  6. Step 6: Final answer
    x = 99,203.15

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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.