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Finding the Third Proportional to 200,260.69 and 309,979.31

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Solution

The third proportional to 200,260.69 and 309,979.31 is: 479,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,260.69 : 309,979.31 = 309,979.31 : x
  2. Step 2: Convert to fraction form
    200,260.69/309,979.31 = 309,979.31/x
  3. Step 3: Cross multiply
    200,260.69x = 309,979.31 × 309,979.31
  4. Step 4: Simplify right side
    200,260.69x = 96,087,174,177.97
  5. Step 5: Solve for x
    x = 96,087,174,177.97/200,260.69
  6. Step 6: Final answer
    x = 479,810.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.