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Finding the Third Proportional to 103,615 and 221,931

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Solution

The third proportional to 103,615 and 221,931 is: 475,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615 : 221,931 = 221,931 : x
  2. Step 2: Convert to fraction form
    103,615/221,931 = 221,931/x
  3. Step 3: Cross multiply
    103,615x = 221,931 × 221,931
  4. Step 4: Simplify right side
    103,615x = 49,253,368,761
  5. Step 5: Solve for x
    x = 49,253,368,761/103,615
  6. Step 6: Final answer
    x = 475,349.79

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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.