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Finding the Third Proportional to 10,108 and 21,263

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Solution

The third proportional to 10,108 and 21,263 is: 44,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 21,263 = 21,263 : x
  2. Step 2: Convert to fraction form
    10,108/21,263 = 21,263/x
  3. Step 3: Cross multiply
    10,108x = 21,263 × 21,263
  4. Step 4: Simplify right side
    10,108x = 452,115,169
  5. Step 5: Solve for x
    x = 452,115,169/10,108
  6. Step 6: Final answer
    x = 44,728.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.