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Finding the Third Proportional to 7,759,918 and 11,747,220

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Solution

The third proportional to 7,759,918 and 11,747,220 is: 17,783,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759,918 : 11,747,220 = 11,747,220 : x
  2. Step 2: Convert to fraction form
    7,759,918/11,747,220 = 11,747,220/x
  3. Step 3: Cross multiply
    7,759,918x = 11,747,220 × 11,747,220
  4. Step 4: Simplify right side
    7,759,918x = 137,997,177,728,400
  5. Step 5: Solve for x
    x = 137,997,177,728,400/7,759,918
  6. Step 6: Final answer
    x = 17,783,329.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.