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Finding the Third Proportional to 669.91 and 1,371.86

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Solution

The third proportional to 669.91 and 1,371.86 is: 2,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.91 : 1,371.86 = 1,371.86 : x
  2. Step 2: Convert to fraction form
    669.91/1,371.86 = 1,371.86/x
  3. Step 3: Cross multiply
    669.91x = 1,371.86 × 1,371.86
  4. Step 4: Simplify right side
    669.91x = 1,881,995.47
  5. Step 5: Solve for x
    x = 1,881,995.47/669.91
  6. Step 6: Final answer
    x = 2,809.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.