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Finding the Third Proportional to 135,899 and 199,854

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Solution

The third proportional to 135,899 and 199,854 is: 293,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,899 : 199,854 = 199,854 : x
  2. Step 2: Convert to fraction form
    135,899/199,854 = 199,854/x
  3. Step 3: Cross multiply
    135,899x = 199,854 × 199,854
  4. Step 4: Simplify right side
    135,899x = 39,941,621,316
  5. Step 5: Solve for x
    x = 39,941,621,316/135,899
  6. Step 6: Final answer
    x = 293,906.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.