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Finding the Third Proportional to 168,209 and 280,334

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Solution

The third proportional to 168,209 and 280,334 is: 467,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,209 : 280,334 = 280,334 : x
  2. Step 2: Convert to fraction form
    168,209/280,334 = 280,334/x
  3. Step 3: Cross multiply
    168,209x = 280,334 × 280,334
  4. Step 4: Simplify right side
    168,209x = 78,587,151,556
  5. Step 5: Solve for x
    x = 78,587,151,556/168,209
  6. Step 6: Final answer
    x = 467,199.45

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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.