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Finding the Third Proportional to 168,324 and 255,321

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Solution

The third proportional to 168,324 and 255,321 is: 387,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,324 : 255,321 = 255,321 : x
  2. Step 2: Convert to fraction form
    168,324/255,321 = 255,321/x
  3. Step 3: Cross multiply
    168,324x = 255,321 × 255,321
  4. Step 4: Simplify right side
    168,324x = 65,188,813,041
  5. Step 5: Solve for x
    x = 65,188,813,041/168,324
  6. Step 6: Final answer
    x = 387,281.75

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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.