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Finding the Third Proportional to 1,285,813 and 2,748,765

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Solution

The third proportional to 1,285,813 and 2,748,765 is: 5,876,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,813 : 2,748,765 = 2,748,765 : x
  2. Step 2: Convert to fraction form
    1,285,813/2,748,765 = 2,748,765/x
  3. Step 3: Cross multiply
    1,285,813x = 2,748,765 × 2,748,765
  4. Step 4: Simplify right side
    1,285,813x = 7,555,709,025,225
  5. Step 5: Solve for x
    x = 7,555,709,025,225/1,285,813
  6. Step 6: Final answer
    x = 5,876,211.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.