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Finding the Third Proportional to 134,142 and 279,189

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Solution

The third proportional to 134,142 and 279,189 is: 581,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142 : 279,189 = 279,189 : x
  2. Step 2: Convert to fraction form
    134,142/279,189 = 279,189/x
  3. Step 3: Cross multiply
    134,142x = 279,189 × 279,189
  4. Step 4: Simplify right side
    134,142x = 77,946,497,721
  5. Step 5: Solve for x
    x = 77,946,497,721/134,142
  6. Step 6: Final answer
    x = 581,074.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.