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Finding the Third Proportional to 206,412.19 and 308,655.56

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Solution

The third proportional to 206,412.19 and 308,655.56 is: 461,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.19 : 308,655.56 = 308,655.56 : x
  2. Step 2: Convert to fraction form
    206,412.19/308,655.56 = 308,655.56/x
  3. Step 3: Cross multiply
    206,412.19x = 308,655.56 × 308,655.56
  4. Step 4: Simplify right side
    206,412.19x = 95,268,256,262.19
  5. Step 5: Solve for x
    x = 95,268,256,262.19/206,412.19
  6. Step 6: Final answer
    x = 461,543.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.