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Finding the Third Proportional to 100,600.50 and 209,465.25

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Solution

The third proportional to 100,600.50 and 209,465.25 is: 436,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,600.50 : 209,465.25 = 209,465.25 : x
  2. Step 2: Convert to fraction form
    100,600.50/209,465.25 = 209,465.25/x
  3. Step 3: Cross multiply
    100,600.50x = 209,465.25 × 209,465.25
  4. Step 4: Simplify right side
    100,600.50x = 43,875,690,957.56
  5. Step 5: Solve for x
    x = 43,875,690,957.56/100,600.50
  6. Step 6: Final answer
    x = 436,137.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.