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Finding the Third Proportional to 55,431 and 130,140

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Solution

The third proportional to 55,431 and 130,140 is: 305,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    55,431/130,140 = 130,140/x
  3. Step 3: Cross multiply
    55,431x = 130,140 × 130,140
  4. Step 4: Simplify right side
    55,431x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/55,431
  6. Step 6: Final answer
    x = 305,540.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.