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Finding the Third Proportional to 4,780 and 5,230

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Solution

The third proportional to 4,780 and 5,230 is: 5,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780 : 5,230 = 5,230 : x
  2. Step 2: Convert to fraction form
    4,780/5,230 = 5,230/x
  3. Step 3: Cross multiply
    4,780x = 5,230 × 5,230
  4. Step 4: Simplify right side
    4,780x = 27,352,900
  5. Step 5: Solve for x
    x = 27,352,900/4,780
  6. Step 6: Final answer
    x = 5,722.36

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.