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Finding the Third Proportional to 126,489 and 192,323

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Solution

The third proportional to 126,489 and 192,323 is: 292,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,489 : 192,323 = 192,323 : x
  2. Step 2: Convert to fraction form
    126,489/192,323 = 192,323/x
  3. Step 3: Cross multiply
    126,489x = 192,323 × 192,323
  4. Step 4: Simplify right side
    126,489x = 36,988,136,329
  5. Step 5: Solve for x
    x = 36,988,136,329/126,489
  6. Step 6: Final answer
    x = 292,421.76

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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.