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Finding the Third Proportional to 105,906 and 155,615

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Solution

The third proportional to 105,906 and 155,615 is: 228,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,906 : 155,615 = 155,615 : x
  2. Step 2: Convert to fraction form
    105,906/155,615 = 155,615/x
  3. Step 3: Cross multiply
    105,906x = 155,615 × 155,615
  4. Step 4: Simplify right side
    105,906x = 24,216,028,225
  5. Step 5: Solve for x
    x = 24,216,028,225/105,906
  6. Step 6: Final answer
    x = 228,655.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.