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Finding the Third Proportional to 65,921 and 146,080

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Solution

The third proportional to 65,921 and 146,080 is: 323,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921 : 146,080 = 146,080 : x
  2. Step 2: Convert to fraction form
    65,921/146,080 = 146,080/x
  3. Step 3: Cross multiply
    65,921x = 146,080 × 146,080
  4. Step 4: Simplify right side
    65,921x = 21,339,366,400
  5. Step 5: Solve for x
    x = 21,339,366,400/65,921
  6. Step 6: Final answer
    x = 323,711.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.