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Finding the Third Proportional to 100,009.69 and 211,789.69

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Solution

The third proportional to 100,009.69 and 211,789.69 is: 448,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,009.69 : 211,789.69 = 211,789.69 : x
  2. Step 2: Convert to fraction form
    100,009.69/211,789.69 = 211,789.69/x
  3. Step 3: Cross multiply
    100,009.69x = 211,789.69 × 211,789.69
  4. Step 4: Simplify right side
    100,009.69x = 44,854,871,731.35
  5. Step 5: Solve for x
    x = 44,854,871,731.35/100,009.69
  6. Step 6: Final answer
    x = 448,505.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.