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Finding the Third Proportional to 421.45 and 656.86

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Solution

The third proportional to 421.45 and 656.86 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.45 : 656.86 = 656.86 : x
  2. Step 2: Convert to fraction form
    421.45/656.86 = 656.86/x
  3. Step 3: Cross multiply
    421.45x = 656.86 × 656.86
  4. Step 4: Simplify right side
    421.45x = 431,464.24
  5. Step 5: Solve for x
    x = 431,464.24/421.45
  6. Step 6: Final answer
    x = 1,023.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.