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Finding the Third Proportional to 57,877 and 122,863

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Solution

The third proportional to 57,877 and 122,863 is: 260,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877 : 122,863 = 122,863 : x
  2. Step 2: Convert to fraction form
    57,877/122,863 = 122,863/x
  3. Step 3: Cross multiply
    57,877x = 122,863 × 122,863
  4. Step 4: Simplify right side
    57,877x = 15,095,316,769
  5. Step 5: Solve for x
    x = 15,095,316,769/57,877
  6. Step 6: Final answer
    x = 260,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.