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Finding the Third Proportional to 99,901 and 209,037

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Solution

The third proportional to 99,901 and 209,037 is: 437,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,901 : 209,037 = 209,037 : x
  2. Step 2: Convert to fraction form
    99,901/209,037 = 209,037/x
  3. Step 3: Cross multiply
    99,901x = 209,037 × 209,037
  4. Step 4: Simplify right side
    99,901x = 43,696,467,369
  5. Step 5: Solve for x
    x = 43,696,467,369/99,901
  6. Step 6: Final answer
    x = 437,397.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.