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Finding the Third Proportional to 2,420,469 and 5,214,385.13

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Solution

The third proportional to 2,420,469 and 5,214,385.13 is: 11,233,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420,469 : 5,214,385.13 = 5,214,385.13 : x
  2. Step 2: Convert to fraction form
    2,420,469/5,214,385.13 = 5,214,385.13/x
  3. Step 3: Cross multiply
    2,420,469x = 5,214,385.13 × 5,214,385.13
  4. Step 4: Simplify right side
    2,420,469x = 27,189,812,231,821.27
  5. Step 5: Solve for x
    x = 27,189,812,231,821.27/2,420,469
  6. Step 6: Final answer
    x = 11,233,282.57

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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.