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Finding the Third Proportional to 4,209 and 4,785

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Solution

The third proportional to 4,209 and 4,785 is: 5,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 4,785 = 4,785 : x
  2. Step 2: Convert to fraction form
    4,209/4,785 = 4,785/x
  3. Step 3: Cross multiply
    4,209x = 4,785 × 4,785
  4. Step 4: Simplify right side
    4,209x = 22,896,225
  5. Step 5: Solve for x
    x = 22,896,225/4,209
  6. Step 6: Final answer
    x = 5,439.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.