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Finding the Third Proportional to 94,841.19 and 198,451.27

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Solution

The third proportional to 94,841.19 and 198,451.27 is: 415,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,841.19 : 198,451.27 = 198,451.27 : x
  2. Step 2: Convert to fraction form
    94,841.19/198,451.27 = 198,451.27/x
  3. Step 3: Cross multiply
    94,841.19x = 198,451.27 × 198,451.27
  4. Step 4: Simplify right side
    94,841.19x = 39,382,904,828.16
  5. Step 5: Solve for x
    x = 39,382,904,828.16/94,841.19
  6. Step 6: Final answer
    x = 415,251.06

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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.