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Finding the Third Proportional to 99,602 and 208,438

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Solution

The third proportional to 99,602 and 208,438 is: 436,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,602 : 208,438 = 208,438 : x
  2. Step 2: Convert to fraction form
    99,602/208,438 = 208,438/x
  3. Step 3: Cross multiply
    99,602x = 208,438 × 208,438
  4. Step 4: Simplify right side
    99,602x = 43,446,399,844
  5. Step 5: Solve for x
    x = 43,446,399,844/99,602
  6. Step 6: Final answer
    x = 436,200.07

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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.