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Finding the Third Proportional to 668.53 and 1,562.06

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Solution

The third proportional to 668.53 and 1,562.06 is: 3,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.53 : 1,562.06 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    668.53/1,562.06 = 1,562.06/x
  3. Step 3: Cross multiply
    668.53x = 1,562.06 × 1,562.06
  4. Step 4: Simplify right side
    668.53x = 2,440,039.25
  5. Step 5: Solve for x
    x = 2,440,039.25/668.53
  6. Step 6: Final answer
    x = 3,649.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.