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Finding the Third Proportional to 68,811 and 142,341.75

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Solution

The third proportional to 68,811 and 142,341.75 is: 294,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811 : 142,341.75 = 142,341.75 : x
  2. Step 2: Convert to fraction form
    68,811/142,341.75 = 142,341.75/x
  3. Step 3: Cross multiply
    68,811x = 142,341.75 × 142,341.75
  4. Step 4: Simplify right side
    68,811x = 20,261,173,793.06
  5. Step 5: Solve for x
    x = 20,261,173,793.06/68,811
  6. Step 6: Final answer
    x = 294,446.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.