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Finding the Third Proportional to 67,131 and 144,765

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Solution

The third proportional to 67,131 and 144,765 is: 312,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,131 : 144,765 = 144,765 : x
  2. Step 2: Convert to fraction form
    67,131/144,765 = 144,765/x
  3. Step 3: Cross multiply
    67,131x = 144,765 × 144,765
  4. Step 4: Simplify right side
    67,131x = 20,956,905,225
  5. Step 5: Solve for x
    x = 20,956,905,225/67,131
  6. Step 6: Final answer
    x = 312,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.