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Finding the Third Proportional to 65,623.50 and 135,621

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Solution

The third proportional to 65,623.50 and 135,621 is: 280,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,623.50 : 135,621 = 135,621 : x
  2. Step 2: Convert to fraction form
    65,623.50/135,621 = 135,621/x
  3. Step 3: Cross multiply
    65,623.50x = 135,621 × 135,621
  4. Step 4: Simplify right side
    65,623.50x = 18,393,055,641
  5. Step 5: Solve for x
    x = 18,393,055,641/65,623.50
  6. Step 6: Final answer
    x = 280,281.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.