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Finding the Third Proportional to 4,200 and 7,788

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Solution

The third proportional to 4,200 and 7,788 is: 14,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 7,788 = 7,788 : x
  2. Step 2: Convert to fraction form
    4,200/7,788 = 7,788/x
  3. Step 3: Cross multiply
    4,200x = 7,788 × 7,788
  4. Step 4: Simplify right side
    4,200x = 60,652,944
  5. Step 5: Solve for x
    x = 60,652,944/4,200
  6. Step 6: Final answer
    x = 14,441.18

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.