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Finding the Third Proportional to 425.81 and 669.09

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Solution

The third proportional to 425.81 and 669.09 is: 1,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.81 : 669.09 = 669.09 : x
  2. Step 2: Convert to fraction form
    425.81/669.09 = 669.09/x
  3. Step 3: Cross multiply
    425.81x = 669.09 × 669.09
  4. Step 4: Simplify right side
    425.81x = 447,686.45
  5. Step 5: Solve for x
    x = 447,686.45/425.81
  6. Step 6: Final answer
    x = 1,051.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.