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Finding the Third Proportional to 34,138 and 51,684

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Solution

The third proportional to 34,138 and 51,684 is: 78,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138 : 51,684 = 51,684 : x
  2. Step 2: Convert to fraction form
    34,138/51,684 = 51,684/x
  3. Step 3: Cross multiply
    34,138x = 51,684 × 51,684
  4. Step 4: Simplify right side
    34,138x = 2,671,235,856
  5. Step 5: Solve for x
    x = 2,671,235,856/34,138
  6. Step 6: Final answer
    x = 78,248.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.