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Finding the Third Proportional to 431.38 and 659.88

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Solution

The third proportional to 431.38 and 659.88 is: 1,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.38 : 659.88 = 659.88 : x
  2. Step 2: Convert to fraction form
    431.38/659.88 = 659.88/x
  3. Step 3: Cross multiply
    431.38x = 659.88 × 659.88
  4. Step 4: Simplify right side
    431.38x = 435,435.02
  5. Step 5: Solve for x
    x = 435,435.02/431.38
  6. Step 6: Final answer
    x = 1,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.