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Finding the Third Proportional to 420.19 and 496.69

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Solution

The third proportional to 420.19 and 496.69 is: 587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 496.69 = 496.69 : x
  2. Step 2: Convert to fraction form
    420.19/496.69 = 496.69/x
  3. Step 3: Cross multiply
    420.19x = 496.69 × 496.69
  4. Step 4: Simplify right side
    420.19x = 246,698.47
  5. Step 5: Solve for x
    x = 246,698.47/420.19
  6. Step 6: Final answer
    x = 587.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.