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Finding the Third Proportional to 205,805.81 and 323,272.69

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Solution

The third proportional to 205,805.81 and 323,272.69 is: 507,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,805.81 : 323,272.69 = 323,272.69 : x
  2. Step 2: Convert to fraction form
    205,805.81/323,272.69 = 323,272.69/x
  3. Step 3: Cross multiply
    205,805.81x = 323,272.69 × 323,272.69
  4. Step 4: Simplify right side
    205,805.81x = 104,505,230,483.47
  5. Step 5: Solve for x
    x = 104,505,230,483.47/205,805.81
  6. Step 6: Final answer
    x = 507,785.61

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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.