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Finding the Third Proportional to 54,866 and 128,201

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Solution

The third proportional to 54,866 and 128,201 is: 299,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866 : 128,201 = 128,201 : x
  2. Step 2: Convert to fraction form
    54,866/128,201 = 128,201/x
  3. Step 3: Cross multiply
    54,866x = 128,201 × 128,201
  4. Step 4: Simplify right side
    54,866x = 16,435,496,401
  5. Step 5: Solve for x
    x = 16,435,496,401/54,866
  6. Step 6: Final answer
    x = 299,557.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.