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Finding the Third Proportional to 7,659,940 and 11,649,066

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Solution

The third proportional to 7,659,940 and 11,649,066 is: 17,715,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,940 : 11,649,066 = 11,649,066 : x
  2. Step 2: Convert to fraction form
    7,659,940/11,649,066 = 11,649,066/x
  3. Step 3: Cross multiply
    7,659,940x = 11,649,066 × 11,649,066
  4. Step 4: Simplify right side
    7,659,940x = 135,700,738,672,356
  5. Step 5: Solve for x
    x = 135,700,738,672,356/7,659,940
  6. Step 6: Final answer
    x = 17,715,639.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.