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Finding the Third Proportional to 250.80 and 604.20

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Solution

The third proportional to 250.80 and 604.20 is: 1,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.80 : 604.20 = 604.20 : x
  2. Step 2: Convert to fraction form
    250.80/604.20 = 604.20/x
  3. Step 3: Cross multiply
    250.80x = 604.20 × 604.20
  4. Step 4: Simplify right side
    250.80x = 365,051.98
  5. Step 5: Solve for x
    x = 365,051.98/250.80
  6. Step 6: Final answer
    x = 1,455.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.