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Finding the Third Proportional to 94,848 and 201,367

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Solution

The third proportional to 94,848 and 201,367 is: 427,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848 : 201,367 = 201,367 : x
  2. Step 2: Convert to fraction form
    94,848/201,367 = 201,367/x
  3. Step 3: Cross multiply
    94,848x = 201,367 × 201,367
  4. Step 4: Simplify right side
    94,848x = 40,548,668,689
  5. Step 5: Solve for x
    x = 40,548,668,689/94,848
  6. Step 6: Final answer
    x = 427,512.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.