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Finding the Third Proportional to 310,422.38 and 681,807.38

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Solution

The third proportional to 310,422.38 and 681,807.38 is: 1,497,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,422.38 : 681,807.38 = 681,807.38 : x
  2. Step 2: Convert to fraction form
    310,422.38/681,807.38 = 681,807.38/x
  3. Step 3: Cross multiply
    310,422.38x = 681,807.38 × 681,807.38
  4. Step 4: Simplify right side
    310,422.38x = 464,861,296,604.39
  5. Step 5: Solve for x
    x = 464,861,296,604.39/310,422.38
  6. Step 6: Final answer
    x = 1,497,512.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.