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Finding the Third Proportional to 265,979.25 and 406,921.50

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Solution

The third proportional to 265,979.25 and 406,921.50 is: 622,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,979.25 : 406,921.50 = 406,921.50 : x
  2. Step 2: Convert to fraction form
    265,979.25/406,921.50 = 406,921.50/x
  3. Step 3: Cross multiply
    265,979.25x = 406,921.50 × 406,921.50
  4. Step 4: Simplify right side
    265,979.25x = 165,585,107,162.25
  5. Step 5: Solve for x
    x = 165,585,107,162.25/265,979.25
  6. Step 6: Final answer
    x = 622,548.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.