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Finding the Third Proportional to 7,867,422 and 17,119,215

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Solution

The third proportional to 7,867,422 and 17,119,215 is: 37,250,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,422 : 17,119,215 = 17,119,215 : x
  2. Step 2: Convert to fraction form
    7,867,422/17,119,215 = 17,119,215/x
  3. Step 3: Cross multiply
    7,867,422x = 17,119,215 × 17,119,215
  4. Step 4: Simplify right side
    7,867,422x = 293,067,522,216,225
  5. Step 5: Solve for x
    x = 293,067,522,216,225/7,867,422
  6. Step 6: Final answer
    x = 37,250,769.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.