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Finding the Third Proportional to 7,797,978 and 17,388,965.25

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Solution

The third proportional to 7,797,978 and 17,388,965.25 is: 38,776,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,978 : 17,388,965.25 = 17,388,965.25 : x
  2. Step 2: Convert to fraction form
    7,797,978/17,388,965.25 = 17,388,965.25/x
  3. Step 3: Cross multiply
    7,797,978x = 17,388,965.25 × 17,388,965.25
  4. Step 4: Simplify right side
    7,797,978x = 302,376,112,465,707.56
  5. Step 5: Solve for x
    x = 302,376,112,465,707.56/7,797,978
  6. Step 6: Final answer
    x = 38,776,220.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.