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Finding the Third Proportional to 4,781.75 and 7,312.25

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Solution

The third proportional to 4,781.75 and 7,312.25 is: 11,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.75 : 7,312.25 = 7,312.25 : x
  2. Step 2: Convert to fraction form
    4,781.75/7,312.25 = 7,312.25/x
  3. Step 3: Cross multiply
    4,781.75x = 7,312.25 × 7,312.25
  4. Step 4: Simplify right side
    4,781.75x = 53,469,000.06
  5. Step 5: Solve for x
    x = 53,469,000.06/4,781.75
  6. Step 6: Final answer
    x = 11,181.89

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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.