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Finding the Third Proportional to 90,186 and 121,671

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Solution

The third proportional to 90,186 and 121,671 is: 164,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,186 : 121,671 = 121,671 : x
  2. Step 2: Convert to fraction form
    90,186/121,671 = 121,671/x
  3. Step 3: Cross multiply
    90,186x = 121,671 × 121,671
  4. Step 4: Simplify right side
    90,186x = 14,803,832,241
  5. Step 5: Solve for x
    x = 14,803,832,241/90,186
  6. Step 6: Final answer
    x = 164,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.