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Finding the Third Proportional to 8,475,216 and 18,534,912

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Solution

The third proportional to 8,475,216 and 18,534,912 is: 40,535,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475,216 : 18,534,912 = 18,534,912 : x
  2. Step 2: Convert to fraction form
    8,475,216/18,534,912 = 18,534,912/x
  3. Step 3: Cross multiply
    8,475,216x = 18,534,912 × 18,534,912
  4. Step 4: Simplify right side
    8,475,216x = 343,542,962,847,744
  5. Step 5: Solve for x
    x = 343,542,962,847,744/8,475,216
  6. Step 6: Final answer
    x = 40,535,009.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.