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Finding the Third Proportional to 67,890 and 149,153

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Solution

The third proportional to 67,890 and 149,153 is: 327,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890 : 149,153 = 149,153 : x
  2. Step 2: Convert to fraction form
    67,890/149,153 = 149,153/x
  3. Step 3: Cross multiply
    67,890x = 149,153 × 149,153
  4. Step 4: Simplify right side
    67,890x = 22,246,617,409
  5. Step 5: Solve for x
    x = 22,246,617,409/67,890
  6. Step 6: Final answer
    x = 327,686.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.