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Finding the Third Proportional to 55,431 and 114,129

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Solution

The third proportional to 55,431 and 114,129 is: 234,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431 : 114,129 = 114,129 : x
  2. Step 2: Convert to fraction form
    55,431/114,129 = 114,129/x
  3. Step 3: Cross multiply
    55,431x = 114,129 × 114,129
  4. Step 4: Simplify right side
    55,431x = 13,025,428,641
  5. Step 5: Solve for x
    x = 13,025,428,641/55,431
  6. Step 6: Final answer
    x = 234,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.