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Finding the Third Proportional to 75,128 and 112,992

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Solution

The third proportional to 75,128 and 112,992 is: 169,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,128 : 112,992 = 112,992 : x
  2. Step 2: Convert to fraction form
    75,128/112,992 = 112,992/x
  3. Step 3: Cross multiply
    75,128x = 112,992 × 112,992
  4. Step 4: Simplify right side
    75,128x = 12,767,192,064
  5. Step 5: Solve for x
    x = 12,767,192,064/75,128
  6. Step 6: Final answer
    x = 169,939.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.