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Finding the Third Proportional to 189,523 and 408,569

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Solution

The third proportional to 189,523 and 408,569 is: 880,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,523 : 408,569 = 408,569 : x
  2. Step 2: Convert to fraction form
    189,523/408,569 = 408,569/x
  3. Step 3: Cross multiply
    189,523x = 408,569 × 408,569
  4. Step 4: Simplify right side
    189,523x = 166,928,627,761
  5. Step 5: Solve for x
    x = 166,928,627,761/189,523
  6. Step 6: Final answer
    x = 880,782.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.