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Finding the Third Proportional to 65,880 and 141,765.75

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Solution

The third proportional to 65,880 and 141,765.75 is: 305,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880 : 141,765.75 = 141,765.75 : x
  2. Step 2: Convert to fraction form
    65,880/141,765.75 = 141,765.75/x
  3. Step 3: Cross multiply
    65,880x = 141,765.75 × 141,765.75
  4. Step 4: Simplify right side
    65,880x = 20,097,527,873.06
  5. Step 5: Solve for x
    x = 20,097,527,873.06/65,880
  6. Step 6: Final answer
    x = 305,062.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.