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Finding the Third Proportional to 30,105 and 65,917.13

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Solution

The third proportional to 30,105 and 65,917.13 is: 144,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 65,917.13 = 65,917.13 : x
  2. Step 2: Convert to fraction form
    30,105/65,917.13 = 65,917.13/x
  3. Step 3: Cross multiply
    30,105x = 65,917.13 × 65,917.13
  4. Step 4: Simplify right side
    30,105x = 4,345,067,368.27
  5. Step 5: Solve for x
    x = 4,345,067,368.27/30,105
  6. Step 6: Final answer
    x = 144,330.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.