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Finding the Third Proportional to 8,217,072 and 18,322,416

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Solution

The third proportional to 8,217,072 and 18,322,416 is: 40,855,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,072 : 18,322,416 = 18,322,416 : x
  2. Step 2: Convert to fraction form
    8,217,072/18,322,416 = 18,322,416/x
  3. Step 3: Cross multiply
    8,217,072x = 18,322,416 × 18,322,416
  4. Step 4: Simplify right side
    8,217,072x = 335,710,928,077,056
  5. Step 5: Solve for x
    x = 335,710,928,077,056/8,217,072
  6. Step 6: Final answer
    x = 40,855,298.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.