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Finding the Third Proportional to 310,131 and 667,780

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Solution

The third proportional to 310,131 and 667,780 is: 1,437,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,131 : 667,780 = 667,780 : x
  2. Step 2: Convert to fraction form
    310,131/667,780 = 667,780/x
  3. Step 3: Cross multiply
    310,131x = 667,780 × 667,780
  4. Step 4: Simplify right side
    310,131x = 445,930,128,400
  5. Step 5: Solve for x
    x = 445,930,128,400/310,131
  6. Step 6: Final answer
    x = 1,437,876.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.