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Finding the Third Proportional to 20,938 and 45,565

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Solution

The third proportional to 20,938 and 45,565 is: 99,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938 : 45,565 = 45,565 : x
  2. Step 2: Convert to fraction form
    20,938/45,565 = 45,565/x
  3. Step 3: Cross multiply
    20,938x = 45,565 × 45,565
  4. Step 4: Simplify right side
    20,938x = 2,076,169,225
  5. Step 5: Solve for x
    x = 2,076,169,225/20,938
  6. Step 6: Final answer
    x = 99,157.95

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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.