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Finding the Third Proportional to 206,421.19 and 431,568.56

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Solution

The third proportional to 206,421.19 and 431,568.56 is: 902,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.19 : 431,568.56 = 431,568.56 : x
  2. Step 2: Convert to fraction form
    206,421.19/431,568.56 = 431,568.56/x
  3. Step 3: Cross multiply
    206,421.19x = 431,568.56 × 431,568.56
  4. Step 4: Simplify right side
    206,421.19x = 186,251,424,138.32
  5. Step 5: Solve for x
    x = 186,251,424,138.32/206,421.19
  6. Step 6: Final answer
    x = 902,288.31

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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.