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Finding the Third Proportional to 105,806 and 155,325

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Solution

The third proportional to 105,806 and 155,325 is: 228,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806 : 155,325 = 155,325 : x
  2. Step 2: Convert to fraction form
    105,806/155,325 = 155,325/x
  3. Step 3: Cross multiply
    105,806x = 155,325 × 155,325
  4. Step 4: Simplify right side
    105,806x = 24,125,855,625
  5. Step 5: Solve for x
    x = 24,125,855,625/105,806
  6. Step 6: Final answer
    x = 228,019.73

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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.