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Finding the Third Proportional to 88,915 and 209,886

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Solution

The third proportional to 88,915 and 209,886 is: 495,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,915 : 209,886 = 209,886 : x
  2. Step 2: Convert to fraction form
    88,915/209,886 = 209,886/x
  3. Step 3: Cross multiply
    88,915x = 209,886 × 209,886
  4. Step 4: Simplify right side
    88,915x = 44,052,132,996
  5. Step 5: Solve for x
    x = 44,052,132,996/88,915
  6. Step 6: Final answer
    x = 495,440.96

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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.