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Finding the Third Proportional to 89,432 and 189,523

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Solution

The third proportional to 89,432 and 189,523 is: 401,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,432 : 189,523 = 189,523 : x
  2. Step 2: Convert to fraction form
    89,432/189,523 = 189,523/x
  3. Step 3: Cross multiply
    89,432x = 189,523 × 189,523
  4. Step 4: Simplify right side
    89,432x = 35,918,967,529
  5. Step 5: Solve for x
    x = 35,918,967,529/89,432
  6. Step 6: Final answer
    x = 401,634.40

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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.