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Finding the Third Proportional to 126,489 and 192,322.50

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Solution

The third proportional to 126,489 and 192,322.50 is: 292,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,489 : 192,322.50 = 192,322.50 : x
  2. Step 2: Convert to fraction form
    126,489/192,322.50 = 192,322.50/x
  3. Step 3: Cross multiply
    126,489x = 192,322.50 × 192,322.50
  4. Step 4: Simplify right side
    126,489x = 36,987,944,006.25
  5. Step 5: Solve for x
    x = 36,987,944,006.25/126,489
  6. Step 6: Final answer
    x = 292,420.24

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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.