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Finding the Third Proportional to 101,760 and 219,072

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Solution

The third proportional to 101,760 and 219,072 is: 471,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760 : 219,072 = 219,072 : x
  2. Step 2: Convert to fraction form
    101,760/219,072 = 219,072/x
  3. Step 3: Cross multiply
    101,760x = 219,072 × 219,072
  4. Step 4: Simplify right side
    101,760x = 47,992,541,184
  5. Step 5: Solve for x
    x = 47,992,541,184/101,760
  6. Step 6: Final answer
    x = 471,624.82

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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.