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Finding the Third Proportional to 46,236 and 102,856

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Solution

The third proportional to 46,236 and 102,856 is: 228,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,236 : 102,856 = 102,856 : x
  2. Step 2: Convert to fraction form
    46,236/102,856 = 102,856/x
  3. Step 3: Cross multiply
    46,236x = 102,856 × 102,856
  4. Step 4: Simplify right side
    46,236x = 10,579,356,736
  5. Step 5: Solve for x
    x = 10,579,356,736/46,236
  6. Step 6: Final answer
    x = 228,812.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.