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Finding the Third Proportional to 8,407,138 and 18,103,672

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Solution

The third proportional to 8,407,138 and 18,103,672 is: 38,983,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,138 : 18,103,672 = 18,103,672 : x
  2. Step 2: Convert to fraction form
    8,407,138/18,103,672 = 18,103,672/x
  3. Step 3: Cross multiply
    8,407,138x = 18,103,672 × 18,103,672
  4. Step 4: Simplify right side
    8,407,138x = 327,742,939,883,584
  5. Step 5: Solve for x
    x = 327,742,939,883,584/8,407,138
  6. Step 6: Final answer
    x = 38,983,889.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.