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Finding the Third Proportional to 659.38 and 1,028.94

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Solution

The third proportional to 659.38 and 1,028.94 is: 1,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 1,028.94 = 1,028.94 : x
  2. Step 2: Convert to fraction form
    659.38/1,028.94 = 1,028.94/x
  3. Step 3: Cross multiply
    659.38x = 1,028.94 × 1,028.94
  4. Step 4: Simplify right side
    659.38x = 1,058,712.38
  5. Step 5: Solve for x
    x = 1,058,712.38/659.38
  6. Step 6: Final answer
    x = 1,605.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.