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Finding the Third Proportional to 4,678.50 and 10,005

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Solution

The third proportional to 4,678.50 and 10,005 is: 21,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.50 : 10,005 = 10,005 : x
  2. Step 2: Convert to fraction form
    4,678.50/10,005 = 10,005/x
  3. Step 3: Cross multiply
    4,678.50x = 10,005 × 10,005
  4. Step 4: Simplify right side
    4,678.50x = 100,100,025
  5. Step 5: Solve for x
    x = 100,100,025/4,678.50
  6. Step 6: Final answer
    x = 21,395.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.