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Finding the Third Proportional to 258,081.75 and 393,682.50

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Solution

The third proportional to 258,081.75 and 393,682.50 is: 600,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,081.75 : 393,682.50 = 393,682.50 : x
  2. Step 2: Convert to fraction form
    258,081.75/393,682.50 = 393,682.50/x
  3. Step 3: Cross multiply
    258,081.75x = 393,682.50 × 393,682.50
  4. Step 4: Simplify right side
    258,081.75x = 154,985,910,806.25
  5. Step 5: Solve for x
    x = 154,985,910,806.25/258,081.75
  6. Step 6: Final answer
    x = 600,530.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.