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Finding the Third Proportional to 206,979.05 and 308,572.03

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Solution

The third proportional to 206,979.05 and 308,572.03 is: 460,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,979.05 : 308,572.03 = 308,572.03 : x
  2. Step 2: Convert to fraction form
    206,979.05/308,572.03 = 308,572.03/x
  3. Step 3: Cross multiply
    206,979.05x = 308,572.03 × 308,572.03
  4. Step 4: Simplify right side
    206,979.05x = 95,216,698,469.75
  5. Step 5: Solve for x
    x = 95,216,698,469.75/206,979.05
  6. Step 6: Final answer
    x = 460,030.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.