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Finding the Third Proportional to 128,066.06 and 205,767.84

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Solution

The third proportional to 128,066.06 and 205,767.84 is: 330,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,066.06 : 205,767.84 = 205,767.84 : x
  2. Step 2: Convert to fraction form
    128,066.06/205,767.84 = 205,767.84/x
  3. Step 3: Cross multiply
    128,066.06x = 205,767.84 × 205,767.84
  4. Step 4: Simplify right side
    128,066.06x = 42,340,405,521.52
  5. Step 5: Solve for x
    x = 42,340,405,521.52/128,066.06
  6. Step 6: Final answer
    x = 330,613.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.