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Finding the Third Proportional to 88,908 and 209,865

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Solution

The third proportional to 88,908 and 209,865 is: 495,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,908 : 209,865 = 209,865 : x
  2. Step 2: Convert to fraction form
    88,908/209,865 = 209,865/x
  3. Step 3: Cross multiply
    88,908x = 209,865 × 209,865
  4. Step 4: Simplify right side
    88,908x = 44,043,318,225
  5. Step 5: Solve for x
    x = 44,043,318,225/88,908
  6. Step 6: Final answer
    x = 495,380.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.