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Finding the Third Proportional to 101,236 and 202,352

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Solution

The third proportional to 101,236 and 202,352 is: 404,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236 : 202,352 = 202,352 : x
  2. Step 2: Convert to fraction form
    101,236/202,352 = 202,352/x
  3. Step 3: Cross multiply
    101,236x = 202,352 × 202,352
  4. Step 4: Simplify right side
    101,236x = 40,946,331,904
  5. Step 5: Solve for x
    x = 40,946,331,904/101,236
  6. Step 6: Final answer
    x = 404,464.14

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.