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Finding the Third Proportional to 430.75 and 959.75

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Solution

The third proportional to 430.75 and 959.75 is: 2,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 959.75 = 959.75 : x
  2. Step 2: Convert to fraction form
    430.75/959.75 = 959.75/x
  3. Step 3: Cross multiply
    430.75x = 959.75 × 959.75
  4. Step 4: Simplify right side
    430.75x = 921,120.06
  5. Step 5: Solve for x
    x = 921,120.06/430.75
  6. Step 6: Final answer
    x = 2,138.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.