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Finding the Third Proportional to 56,912 and 87,936

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Solution

The third proportional to 56,912 and 87,936 is: 135,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 87,936 = 87,936 : x
  2. Step 2: Convert to fraction form
    56,912/87,936 = 87,936/x
  3. Step 3: Cross multiply
    56,912x = 87,936 × 87,936
  4. Step 4: Simplify right side
    56,912x = 7,732,740,096
  5. Step 5: Solve for x
    x = 7,732,740,096/56,912
  6. Step 6: Final answer
    x = 135,871.87

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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.