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Finding the Third Proportional to 220,188.94 and 422,881.88

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Solution

The third proportional to 220,188.94 and 422,881.88 is: 812,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,188.94 : 422,881.88 = 422,881.88 : x
  2. Step 2: Convert to fraction form
    220,188.94/422,881.88 = 422,881.88/x
  3. Step 3: Cross multiply
    220,188.94x = 422,881.88 × 422,881.88
  4. Step 4: Simplify right side
    220,188.94x = 178,829,080,203.52
  5. Step 5: Solve for x
    x = 178,829,080,203.52/220,188.94
  6. Step 6: Final answer
    x = 812,161.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.