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Finding the Third Proportional to 7,867,668 and 11,873,854

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Solution

The third proportional to 7,867,668 and 11,873,854 is: 17,919,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,668 : 11,873,854 = 11,873,854 : x
  2. Step 2: Convert to fraction form
    7,867,668/11,873,854 = 11,873,854/x
  3. Step 3: Cross multiply
    7,867,668x = 11,873,854 × 11,873,854
  4. Step 4: Simplify right side
    7,867,668x = 140,988,408,813,316
  5. Step 5: Solve for x
    x = 140,988,408,813,316/7,867,668
  6. Step 6: Final answer
    x = 17,919,974.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.