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Finding the Third Proportional to 168,987.75 and 342,637.50

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Solution

The third proportional to 168,987.75 and 342,637.50 is: 694,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,987.75 : 342,637.50 = 342,637.50 : x
  2. Step 2: Convert to fraction form
    168,987.75/342,637.50 = 342,637.50/x
  3. Step 3: Cross multiply
    168,987.75x = 342,637.50 × 342,637.50
  4. Step 4: Simplify right side
    168,987.75x = 117,400,456,406.25
  5. Step 5: Solve for x
    x = 117,400,456,406.25/168,987.75
  6. Step 6: Final answer
    x = 694,727.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.