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Finding the Third Proportional to 92,414.50 and 194,489

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Solution

The third proportional to 92,414.50 and 194,489 is: 409,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414.50 : 194,489 = 194,489 : x
  2. Step 2: Convert to fraction form
    92,414.50/194,489 = 194,489/x
  3. Step 3: Cross multiply
    92,414.50x = 194,489 × 194,489
  4. Step 4: Simplify right side
    92,414.50x = 37,825,971,121
  5. Step 5: Solve for x
    x = 37,825,971,121/92,414.50
  6. Step 6: Final answer
    x = 409,307.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.