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Finding the Third Proportional to 101,764 and 219,080

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Solution

The third proportional to 101,764 and 219,080 is: 471,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764 : 219,080 = 219,080 : x
  2. Step 2: Convert to fraction form
    101,764/219,080 = 219,080/x
  3. Step 3: Cross multiply
    101,764x = 219,080 × 219,080
  4. Step 4: Simplify right side
    101,764x = 47,996,046,400
  5. Step 5: Solve for x
    x = 47,996,046,400/101,764
  6. Step 6: Final answer
    x = 471,640.72

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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.