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Finding the Third Proportional to 42,427 and 91,409

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Solution

The third proportional to 42,427 and 91,409 is: 196,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427 : 91,409 = 91,409 : x
  2. Step 2: Convert to fraction form
    42,427/91,409 = 91,409/x
  3. Step 3: Cross multiply
    42,427x = 91,409 × 91,409
  4. Step 4: Simplify right side
    42,427x = 8,355,605,281
  5. Step 5: Solve for x
    x = 8,355,605,281/42,427
  6. Step 6: Final answer
    x = 196,940.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.