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Finding the Third Proportional to 827,013 and 1,780,739

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Solution

The third proportional to 827,013 and 1,780,739 is: 3,834,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,013 : 1,780,739 = 1,780,739 : x
  2. Step 2: Convert to fraction form
    827,013/1,780,739 = 1,780,739/x
  3. Step 3: Cross multiply
    827,013x = 1,780,739 × 1,780,739
  4. Step 4: Simplify right side
    827,013x = 3,171,031,386,121
  5. Step 5: Solve for x
    x = 3,171,031,386,121/827,013
  6. Step 6: Final answer
    x = 3,834,318.67

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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.