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Finding the Third Proportional to 4,709 and 8,009

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Solution

The third proportional to 4,709 and 8,009 is: 13,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 8,009 = 8,009 : x
  2. Step 2: Convert to fraction form
    4,709/8,009 = 8,009/x
  3. Step 3: Cross multiply
    4,709x = 8,009 × 8,009
  4. Step 4: Simplify right side
    4,709x = 64,144,081
  5. Step 5: Solve for x
    x = 64,144,081/4,709
  6. Step 6: Final answer
    x = 13,621.59

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.