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Finding the Third Proportional to 109,370.25 and 178,591.50

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Solution

The third proportional to 109,370.25 and 178,591.50 is: 291,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,370.25 : 178,591.50 = 178,591.50 : x
  2. Step 2: Convert to fraction form
    109,370.25/178,591.50 = 178,591.50/x
  3. Step 3: Cross multiply
    109,370.25x = 178,591.50 × 178,591.50
  4. Step 4: Simplify right side
    109,370.25x = 31,894,923,872.25
  5. Step 5: Solve for x
    x = 31,894,923,872.25/109,370.25
  6. Step 6: Final answer
    x = 291,623.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.