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Finding the Third Proportional to 310,800.50 and 679,378.75

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Solution

The third proportional to 310,800.50 and 679,378.75 is: 1,485,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,800.50 : 679,378.75 = 679,378.75 : x
  2. Step 2: Convert to fraction form
    310,800.50/679,378.75 = 679,378.75/x
  3. Step 3: Cross multiply
    310,800.50x = 679,378.75 × 679,378.75
  4. Step 4: Simplify right side
    310,800.50x = 461,555,485,951.56
  5. Step 5: Solve for x
    x = 461,555,485,951.56/310,800.50
  6. Step 6: Final answer
    x = 1,485,053.87

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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.