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Finding the Third Proportional to 88,900 and 209,855

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Solution

The third proportional to 88,900 and 209,855 is: 495,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,900 : 209,855 = 209,855 : x
  2. Step 2: Convert to fraction form
    88,900/209,855 = 209,855/x
  3. Step 3: Cross multiply
    88,900x = 209,855 × 209,855
  4. Step 4: Simplify right side
    88,900x = 44,039,121,025
  5. Step 5: Solve for x
    x = 44,039,121,025/88,900
  6. Step 6: Final answer
    x = 495,378.19

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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.