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Finding the Third Proportional to 135,823.50 and 206,644.50

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Solution

The third proportional to 135,823.50 and 206,644.50 is: 314,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,823.50 : 206,644.50 = 206,644.50 : x
  2. Step 2: Convert to fraction form
    135,823.50/206,644.50 = 206,644.50/x
  3. Step 3: Cross multiply
    135,823.50x = 206,644.50 × 206,644.50
  4. Step 4: Simplify right side
    135,823.50x = 42,701,949,380.25
  5. Step 5: Solve for x
    x = 42,701,949,380.25/135,823.50
  6. Step 6: Final answer
    x = 314,392.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.