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Finding the Third Proportional to 101,574 and 218,758

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Solution

The third proportional to 101,574 and 218,758 is: 471,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,574 : 218,758 = 218,758 : x
  2. Step 2: Convert to fraction form
    101,574/218,758 = 218,758/x
  3. Step 3: Cross multiply
    101,574x = 218,758 × 218,758
  4. Step 4: Simplify right side
    101,574x = 47,855,062,564
  5. Step 5: Solve for x
    x = 47,855,062,564/101,574
  6. Step 6: Final answer
    x = 471,134.96

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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.