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Finding the Third Proportional to 215,625 and 445,080

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Solution

The third proportional to 215,625 and 445,080 is: 918,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,625 : 445,080 = 445,080 : x
  2. Step 2: Convert to fraction form
    215,625/445,080 = 445,080/x
  3. Step 3: Cross multiply
    215,625x = 445,080 × 445,080
  4. Step 4: Simplify right side
    215,625x = 198,096,206,400
  5. Step 5: Solve for x
    x = 198,096,206,400/215,625
  6. Step 6: Final answer
    x = 918,707.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.