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Finding the Third Proportional to 109,659.75 and 235,630.78

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Solution

The third proportional to 109,659.75 and 235,630.78 is: 506,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.75 : 235,630.78 = 235,630.78 : x
  2. Step 2: Convert to fraction form
    109,659.75/235,630.78 = 235,630.78/x
  3. Step 3: Cross multiply
    109,659.75x = 235,630.78 × 235,630.78
  4. Step 4: Simplify right side
    109,659.75x = 55,521,865,072.49
  5. Step 5: Solve for x
    x = 55,521,865,072.49/109,659.75
  6. Step 6: Final answer
    x = 506,310.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.