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Finding the Third Proportional to 10,115 and 21,276

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Solution

The third proportional to 10,115 and 21,276 is: 44,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115 : 21,276 = 21,276 : x
  2. Step 2: Convert to fraction form
    10,115/21,276 = 21,276/x
  3. Step 3: Cross multiply
    10,115x = 21,276 × 21,276
  4. Step 4: Simplify right side
    10,115x = 452,668,176
  5. Step 5: Solve for x
    x = 452,668,176/10,115
  6. Step 6: Final answer
    x = 44,752.17

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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.