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Finding the Third Proportional to 81,376 and 128,616

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Solution

The third proportional to 81,376 and 128,616 is: 203,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,376 : 128,616 = 128,616 : x
  2. Step 2: Convert to fraction form
    81,376/128,616 = 128,616/x
  3. Step 3: Cross multiply
    81,376x = 128,616 × 128,616
  4. Step 4: Simplify right side
    81,376x = 16,542,075,456
  5. Step 5: Solve for x
    x = 16,542,075,456/81,376
  6. Step 6: Final answer
    x = 203,279.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.