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Finding the Third Proportional to 168,154.50 and 280,257

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Solution

The third proportional to 168,154.50 and 280,257 is: 467,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,154.50 : 280,257 = 280,257 : x
  2. Step 2: Convert to fraction form
    168,154.50/280,257 = 280,257/x
  3. Step 3: Cross multiply
    168,154.50x = 280,257 × 280,257
  4. Step 4: Simplify right side
    168,154.50x = 78,543,986,049
  5. Step 5: Solve for x
    x = 78,543,986,049/168,154.50
  6. Step 6: Final answer
    x = 467,094.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.