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Finding the Third Proportional to 4,678.38 and 10,143.67

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Solution

The third proportional to 4,678.38 and 10,143.67 is: 21,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.38 : 10,143.67 = 10,143.67 : x
  2. Step 2: Convert to fraction form
    4,678.38/10,143.67 = 10,143.67/x
  3. Step 3: Cross multiply
    4,678.38x = 10,143.67 × 10,143.67
  4. Step 4: Simplify right side
    4,678.38x = 102,893,999.86
  5. Step 5: Solve for x
    x = 102,893,999.86/4,678.38
  6. Step 6: Final answer
    x = 21,993.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.