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Finding the Third Proportional to 57,564 and 84,138

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Solution

The third proportional to 57,564 and 84,138 is: 122,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564 : 84,138 = 84,138 : x
  2. Step 2: Convert to fraction form
    57,564/84,138 = 84,138/x
  3. Step 3: Cross multiply
    57,564x = 84,138 × 84,138
  4. Step 4: Simplify right side
    57,564x = 7,079,203,044
  5. Step 5: Solve for x
    x = 7,079,203,044/57,564
  6. Step 6: Final answer
    x = 122,979.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.