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Finding the Third Proportional to 47,299 and 100,915

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Solution

The third proportional to 47,299 and 100,915 is: 215,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,299 : 100,915 = 100,915 : x
  2. Step 2: Convert to fraction form
    47,299/100,915 = 100,915/x
  3. Step 3: Cross multiply
    47,299x = 100,915 × 100,915
  4. Step 4: Simplify right side
    47,299x = 10,183,837,225
  5. Step 5: Solve for x
    x = 10,183,837,225/47,299
  6. Step 6: Final answer
    x = 215,307.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.