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Finding the Third Proportional to 7,665,378.75 and 11,782,213.13

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Solution

The third proportional to 7,665,378.75 and 11,782,213.13 is: 18,110,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,378.75 : 11,782,213.13 = 11,782,213.13 : x
  2. Step 2: Convert to fraction form
    7,665,378.75/11,782,213.13 = 11,782,213.13/x
  3. Step 3: Cross multiply
    7,665,378.75x = 11,782,213.13 × 11,782,213.13
  4. Step 4: Simplify right side
    7,665,378.75x = 138,820,546,122,922.27
  5. Step 5: Solve for x
    x = 138,820,546,122,922.27/7,665,378.75
  6. Step 6: Final answer
    x = 18,110,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.