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Finding the Third Proportional to 669.09 and 1,563.47

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Solution

The third proportional to 669.09 and 1,563.47 is: 3,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.09 : 1,563.47 = 1,563.47 : x
  2. Step 2: Convert to fraction form
    669.09/1,563.47 = 1,563.47/x
  3. Step 3: Cross multiply
    669.09x = 1,563.47 × 1,563.47
  4. Step 4: Simplify right side
    669.09x = 2,444,434.53
  5. Step 5: Solve for x
    x = 2,444,434.53/669.09
  6. Step 6: Final answer
    x = 3,653.35

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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.