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Finding the Third Proportional to 8,110,199.04 and 10,833,765.82

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Solution

The third proportional to 8,110,199.04 and 10,833,765.82 is: 14,471,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110,199.04 : 10,833,765.82 = 10,833,765.82 : x
  2. Step 2: Convert to fraction form
    8,110,199.04/10,833,765.82 = 10,833,765.82/x
  3. Step 3: Cross multiply
    8,110,199.04x = 10,833,765.82 × 10,833,765.82
  4. Step 4: Simplify right side
    8,110,199.04x = 117,370,481,849,360.56
  5. Step 5: Solve for x
    x = 117,370,481,849,360.56/8,110,199.04
  6. Step 6: Final answer
    x = 14,471,960.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.