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Finding the Third Proportional to 220,728.50 and 476,428.75

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Solution

The third proportional to 220,728.50 and 476,428.75 is: 1,028,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,728.50 : 476,428.75 = 476,428.75 : x
  2. Step 2: Convert to fraction form
    220,728.50/476,428.75 = 476,428.75/x
  3. Step 3: Cross multiply
    220,728.50x = 476,428.75 × 476,428.75
  4. Step 4: Simplify right side
    220,728.50x = 226,984,353,826.56
  5. Step 5: Solve for x
    x = 226,984,353,826.56/220,728.50
  6. Step 6: Final answer
    x = 1,028,341.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.