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Finding the Third Proportional to 309,615.75 and 640,470.52

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Solution

The third proportional to 309,615.75 and 640,470.52 is: 1,324,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,615.75 : 640,470.52 = 640,470.52 : x
  2. Step 2: Convert to fraction form
    309,615.75/640,470.52 = 640,470.52/x
  3. Step 3: Cross multiply
    309,615.75x = 640,470.52 × 640,470.52
  4. Step 4: Simplify right side
    309,615.75x = 410,202,481,384.95
  5. Step 5: Solve for x
    x = 410,202,481,384.95/309,615.75
  6. Step 6: Final answer
    x = 1,324,876.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.