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Finding the Third Proportional to 431.25 and 609.63

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Solution

The third proportional to 431.25 and 609.63 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.25 : 609.63 = 609.63 : x
  2. Step 2: Convert to fraction form
    431.25/609.63 = 609.63/x
  3. Step 3: Cross multiply
    431.25x = 609.63 × 609.63
  4. Step 4: Simplify right side
    431.25x = 371,642.64
  5. Step 5: Solve for x
    x = 371,642.64/431.25
  6. Step 6: Final answer
    x = 861.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.