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Finding the Third Proportional to 55,128 and 87,616

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Solution

The third proportional to 55,128 and 87,616 is: 139,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,128 : 87,616 = 87,616 : x
  2. Step 2: Convert to fraction form
    55,128/87,616 = 87,616/x
  3. Step 3: Cross multiply
    55,128x = 87,616 × 87,616
  4. Step 4: Simplify right side
    55,128x = 7,676,563,456
  5. Step 5: Solve for x
    x = 7,676,563,456/55,128
  6. Step 6: Final answer
    x = 139,249.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.