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Finding the Third Proportional to 92,056 and 201,336

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Solution

The third proportional to 92,056 and 201,336 is: 440,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,056 : 201,336 = 201,336 : x
  2. Step 2: Convert to fraction form
    92,056/201,336 = 201,336/x
  3. Step 3: Cross multiply
    92,056x = 201,336 × 201,336
  4. Step 4: Simplify right side
    92,056x = 40,536,184,896
  5. Step 5: Solve for x
    x = 40,536,184,896/92,056
  6. Step 6: Final answer
    x = 440,342.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.