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Finding the Third Proportional to 54,143 and 130,436

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Solution

The third proportional to 54,143 and 130,436 is: 314,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,143 : 130,436 = 130,436 : x
  2. Step 2: Convert to fraction form
    54,143/130,436 = 130,436/x
  3. Step 3: Cross multiply
    54,143x = 130,436 × 130,436
  4. Step 4: Simplify right side
    54,143x = 17,013,550,096
  5. Step 5: Solve for x
    x = 17,013,550,096/54,143
  6. Step 6: Final answer
    x = 314,233.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.