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Finding the Third Proportional to 140,654.39 and 200,991.80

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Solution

The third proportional to 140,654.39 and 200,991.80 is: 287,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,654.39 : 200,991.80 = 200,991.80 : x
  2. Step 2: Convert to fraction form
    140,654.39/200,991.80 = 200,991.80/x
  3. Step 3: Cross multiply
    140,654.39x = 200,991.80 × 200,991.80
  4. Step 4: Simplify right side
    140,654.39x = 40,397,702,411.04
  5. Step 5: Solve for x
    x = 40,397,702,411.04/140,654.39
  6. Step 6: Final answer
    x = 287,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.