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Finding the Third Proportional to 88,903 and 209,863

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Solution

The third proportional to 88,903 and 209,863 is: 495,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,903 : 209,863 = 209,863 : x
  2. Step 2: Convert to fraction form
    88,903/209,863 = 209,863/x
  3. Step 3: Cross multiply
    88,903x = 209,863 × 209,863
  4. Step 4: Simplify right side
    88,903x = 44,042,478,769
  5. Step 5: Solve for x
    x = 44,042,478,769/88,903
  6. Step 6: Final answer
    x = 495,399.24

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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.