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Finding the Third Proportional to 316,578.38 and 693,192.30

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Solution

The third proportional to 316,578.38 and 693,192.30 is: 1,517,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,578.38 : 693,192.30 = 693,192.30 : x
  2. Step 2: Convert to fraction form
    316,578.38/693,192.30 = 693,192.30/x
  3. Step 3: Cross multiply
    316,578.38x = 693,192.30 × 693,192.30
  4. Step 4: Simplify right side
    316,578.38x = 480,515,571,277.97
  5. Step 5: Solve for x
    x = 480,515,571,277.97/316,578.38
  6. Step 6: Final answer
    x = 1,517,840.79

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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.