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Finding the Third Proportional to 42,369 and 91,401

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Solution

The third proportional to 42,369 and 91,401 is: 197,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369 : 91,401 = 91,401 : x
  2. Step 2: Convert to fraction form
    42,369/91,401 = 91,401/x
  3. Step 3: Cross multiply
    42,369x = 91,401 × 91,401
  4. Step 4: Simplify right side
    42,369x = 8,354,142,801
  5. Step 5: Solve for x
    x = 8,354,142,801/42,369
  6. Step 6: Final answer
    x = 197,175.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.