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Finding the Third Proportional to 66,782 and 146,080

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Solution

The third proportional to 66,782 and 146,080 is: 319,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782 : 146,080 = 146,080 : x
  2. Step 2: Convert to fraction form
    66,782/146,080 = 146,080/x
  3. Step 3: Cross multiply
    66,782x = 146,080 × 146,080
  4. Step 4: Simplify right side
    66,782x = 21,339,366,400
  5. Step 5: Solve for x
    x = 21,339,366,400/66,782
  6. Step 6: Final answer
    x = 319,537.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.