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Finding the Third Proportional to 7,724,619 and 11,686,329

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Solution

The third proportional to 7,724,619 and 11,686,329 is: 17,679,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,619 : 11,686,329 = 11,686,329 : x
  2. Step 2: Convert to fraction form
    7,724,619/11,686,329 = 11,686,329/x
  3. Step 3: Cross multiply
    7,724,619x = 11,686,329 × 11,686,329
  4. Step 4: Simplify right side
    7,724,619x = 136,570,285,496,241
  5. Step 5: Solve for x
    x = 136,570,285,496,241/7,724,619
  6. Step 6: Final answer
    x = 17,679,873.34

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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.