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Finding the Third Proportional to 638,470.69 and 952,170.19

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Solution

The third proportional to 638,470.69 and 952,170.19 is: 1,419,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,470.69 : 952,170.19 = 952,170.19 : x
  2. Step 2: Convert to fraction form
    638,470.69/952,170.19 = 952,170.19/x
  3. Step 3: Cross multiply
    638,470.69x = 952,170.19 × 952,170.19
  4. Step 4: Simplify right side
    638,470.69x = 906,628,065,963.79
  5. Step 5: Solve for x
    x = 906,628,065,963.79/638,470.69
  6. Step 6: Final answer
    x = 1,419,999.51

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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.