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Finding the Third Proportional to 8,640,864 and 18,668,016

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Solution

The third proportional to 8,640,864 and 18,668,016 is: 40,331,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640,864 : 18,668,016 = 18,668,016 : x
  2. Step 2: Convert to fraction form
    8,640,864/18,668,016 = 18,668,016/x
  3. Step 3: Cross multiply
    8,640,864x = 18,668,016 × 18,668,016
  4. Step 4: Simplify right side
    8,640,864x = 348,494,821,376,256
  5. Step 5: Solve for x
    x = 348,494,821,376,256/8,640,864
  6. Step 6: Final answer
    x = 40,331,015.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.