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Finding the Third Proportional to 100,386 and 222,915

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Solution

The third proportional to 100,386 and 222,915 is: 495,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386 : 222,915 = 222,915 : x
  2. Step 2: Convert to fraction form
    100,386/222,915 = 222,915/x
  3. Step 3: Cross multiply
    100,386x = 222,915 × 222,915
  4. Step 4: Simplify right side
    100,386x = 49,691,097,225
  5. Step 5: Solve for x
    x = 49,691,097,225/100,386
  6. Step 6: Final answer
    x = 495,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.