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Finding the Third Proportional to 663.86 and 1,455.86

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Solution

The third proportional to 663.86 and 1,455.86 is: 3,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 1,455.86 = 1,455.86 : x
  2. Step 2: Convert to fraction form
    663.86/1,455.86 = 1,455.86/x
  3. Step 3: Cross multiply
    663.86x = 1,455.86 × 1,455.86
  4. Step 4: Simplify right side
    663.86x = 2,119,540.74
  5. Step 5: Solve for x
    x = 2,119,540.74/663.86
  6. Step 6: Final answer
    x = 3,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.