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Finding the Third Proportional to 12,053,409 and 18,188,795.25

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Solution

The third proportional to 12,053,409 and 18,188,795.25 is: 27,447,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053,409 : 18,188,795.25 = 18,188,795.25 : x
  2. Step 2: Convert to fraction form
    12,053,409/18,188,795.25 = 18,188,795.25/x
  3. Step 3: Cross multiply
    12,053,409x = 18,188,795.25 × 18,188,795.25
  4. Step 4: Simplify right side
    12,053,409x = 330,832,272,646,422.56
  5. Step 5: Solve for x
    x = 330,832,272,646,422.56/12,053,409
  6. Step 6: Final answer
    x = 27,447,195.45

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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.