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Finding the Third Proportional to 11,974,857.75 and 18,763,407

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Solution

The third proportional to 11,974,857.75 and 18,763,407 is: 29,400,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974,857.75 : 18,763,407 = 18,763,407 : x
  2. Step 2: Convert to fraction form
    11,974,857.75/18,763,407 = 18,763,407/x
  3. Step 3: Cross multiply
    11,974,857.75x = 18,763,407 × 18,763,407
  4. Step 4: Simplify right side
    11,974,857.75x = 352,065,442,247,649
  5. Step 5: Solve for x
    x = 352,065,442,247,649/11,974,857.75
  6. Step 6: Final answer
    x = 29,400,386.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.