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Finding the Third Proportional to 20,253 and 42,553.50

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Solution

The third proportional to 20,253 and 42,553.50 is: 89,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253 : 42,553.50 = 42,553.50 : x
  2. Step 2: Convert to fraction form
    20,253/42,553.50 = 42,553.50/x
  3. Step 3: Cross multiply
    20,253x = 42,553.50 × 42,553.50
  4. Step 4: Simplify right side
    20,253x = 1,810,800,362.25
  5. Step 5: Solve for x
    x = 1,810,800,362.25/20,253
  6. Step 6: Final answer
    x = 89,408.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.