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Finding the Third Proportional to 349,936 and 542,885

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Solution

The third proportional to 349,936 and 542,885 is: 842,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,936 : 542,885 = 542,885 : x
  2. Step 2: Convert to fraction form
    349,936/542,885 = 542,885/x
  3. Step 3: Cross multiply
    349,936x = 542,885 × 542,885
  4. Step 4: Simplify right side
    349,936x = 294,724,123,225
  5. Step 5: Solve for x
    x = 294,724,123,225/349,936
  6. Step 6: Final answer
    x = 842,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.