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Finding the Third Proportional to 52,138 and 122,957

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Solution

The third proportional to 52,138 and 122,957 is: 289,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138 : 122,957 = 122,957 : x
  2. Step 2: Convert to fraction form
    52,138/122,957 = 122,957/x
  3. Step 3: Cross multiply
    52,138x = 122,957 × 122,957
  4. Step 4: Simplify right side
    52,138x = 15,118,423,849
  5. Step 5: Solve for x
    x = 15,118,423,849/52,138
  6. Step 6: Final answer
    x = 289,969.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.