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Finding the Third Proportional to 206,470.69 and 300,718.13

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Solution

The third proportional to 206,470.69 and 300,718.13 is: 437,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.69 : 300,718.13 = 300,718.13 : x
  2. Step 2: Convert to fraction form
    206,470.69/300,718.13 = 300,718.13/x
  3. Step 3: Cross multiply
    206,470.69x = 300,718.13 × 300,718.13
  4. Step 4: Simplify right side
    206,470.69x = 90,431,390,703.52
  5. Step 5: Solve for x
    x = 90,431,390,703.52/206,470.69
  6. Step 6: Final answer
    x = 437,986.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.