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Finding the Third Proportional to 397,275.94 and 868,824.94

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Solution

The third proportional to 397,275.94 and 868,824.94 is: 1,900,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,275.94 : 868,824.94 = 868,824.94 : x
  2. Step 2: Convert to fraction form
    397,275.94/868,824.94 = 868,824.94/x
  3. Step 3: Cross multiply
    397,275.94x = 868,824.94 × 868,824.94
  4. Step 4: Simplify right side
    397,275.94x = 754,856,772,021.88
  5. Step 5: Solve for x
    x = 754,856,772,021.88/397,275.94
  6. Step 6: Final answer
    x = 1,900,081.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.