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Finding the Third Proportional to 84,002 and 121,035

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Solution

The third proportional to 84,002 and 121,035 is: 174,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002 : 121,035 = 121,035 : x
  2. Step 2: Convert to fraction form
    84,002/121,035 = 121,035/x
  3. Step 3: Cross multiply
    84,002x = 121,035 × 121,035
  4. Step 4: Simplify right side
    84,002x = 14,649,471,225
  5. Step 5: Solve for x
    x = 14,649,471,225/84,002
  6. Step 6: Final answer
    x = 174,394.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.