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Finding the Third Proportional to 8,407,152 and 18,103,709.25

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Solution

The third proportional to 8,407,152 and 18,103,709.25 is: 38,983,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,152 : 18,103,709.25 = 18,103,709.25 : x
  2. Step 2: Convert to fraction form
    8,407,152/18,103,709.25 = 18,103,709.25/x
  3. Step 3: Cross multiply
    8,407,152x = 18,103,709.25 × 18,103,709.25
  4. Step 4: Simplify right side
    8,407,152x = 327,744,288,608,535.56
  5. Step 5: Solve for x
    x = 327,744,288,608,535.56/8,407,152
  6. Step 6: Final answer
    x = 38,983,985.14

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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.