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Finding the Third Proportional to 231.88 and 510.25

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Solution

The third proportional to 231.88 and 510.25 is: 1,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 510.25 = 510.25 : x
  2. Step 2: Convert to fraction form
    231.88/510.25 = 510.25/x
  3. Step 3: Cross multiply
    231.88x = 510.25 × 510.25
  4. Step 4: Simplify right side
    231.88x = 260,355.06
  5. Step 5: Solve for x
    x = 260,355.06/231.88
  6. Step 6: Final answer
    x = 1,122.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.