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Finding the Third Proportional to 12,998,085.19 and 20,115,879.19

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Solution

The third proportional to 12,998,085.19 and 20,115,879.19 is: 31,131,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998,085.19 : 20,115,879.19 = 20,115,879.19 : x
  2. Step 2: Convert to fraction form
    12,998,085.19/20,115,879.19 = 20,115,879.19/x
  3. Step 3: Cross multiply
    12,998,085.19x = 20,115,879.19 × 20,115,879.19
  4. Step 4: Simplify right side
    12,998,085.19x = 404,648,595,486,095.69
  5. Step 5: Solve for x
    x = 404,648,595,486,095.69/12,998,085.19
  6. Step 6: Final answer
    x = 31,131,400.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.