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Finding the Third Proportional to 92,451.38 and 199,634.63

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Solution

The third proportional to 92,451.38 and 199,634.63 is: 431,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,451.38 : 199,634.63 = 199,634.63 : x
  2. Step 2: Convert to fraction form
    92,451.38/199,634.63 = 199,634.63/x
  3. Step 3: Cross multiply
    92,451.38x = 199,634.63 × 199,634.63
  4. Step 4: Simplify right side
    92,451.38x = 39,853,983,498.89
  5. Step 5: Solve for x
    x = 39,853,983,498.89/92,451.38
  6. Step 6: Final answer
    x = 431,080.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.