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Finding the Third Proportional to 420.25 and 663.75

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Solution

The third proportional to 420.25 and 663.75 is: 1,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 663.75 = 663.75 : x
  2. Step 2: Convert to fraction form
    420.25/663.75 = 663.75/x
  3. Step 3: Cross multiply
    420.25x = 663.75 × 663.75
  4. Step 4: Simplify right side
    420.25x = 440,564.06
  5. Step 5: Solve for x
    x = 440,564.06/420.25
  6. Step 6: Final answer
    x = 1,048.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.