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Finding the Third Proportional to 94,536 and 201,782

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Solution

The third proportional to 94,536 and 201,782 is: 430,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,536 : 201,782 = 201,782 : x
  2. Step 2: Convert to fraction form
    94,536/201,782 = 201,782/x
  3. Step 3: Cross multiply
    94,536x = 201,782 × 201,782
  4. Step 4: Simplify right side
    94,536x = 40,715,975,524
  5. Step 5: Solve for x
    x = 40,715,975,524/94,536
  6. Step 6: Final answer
    x = 430,692.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.