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Finding the Third Proportional to 420.25 and 604.75

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Solution

The third proportional to 420.25 and 604.75 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 604.75 = 604.75 : x
  2. Step 2: Convert to fraction form
    420.25/604.75 = 604.75/x
  3. Step 3: Cross multiply
    420.25x = 604.75 × 604.75
  4. Step 4: Simplify right side
    420.25x = 365,722.56
  5. Step 5: Solve for x
    x = 365,722.56/420.25
  6. Step 6: Final answer
    x = 870.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.