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Finding the Third Proportional to 75,121 and 112,447

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Solution

The third proportional to 75,121 and 112,447 is: 168,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121 : 112,447 = 112,447 : x
  2. Step 2: Convert to fraction form
    75,121/112,447 = 112,447/x
  3. Step 3: Cross multiply
    75,121x = 112,447 × 112,447
  4. Step 4: Simplify right side
    75,121x = 12,644,327,809
  5. Step 5: Solve for x
    x = 12,644,327,809/75,121
  6. Step 6: Final answer
    x = 168,319.48

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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.