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Finding the Third Proportional to 10,501 and 21,482

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Solution

The third proportional to 10,501 and 21,482 is: 43,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501 : 21,482 = 21,482 : x
  2. Step 2: Convert to fraction form
    10,501/21,482 = 21,482/x
  3. Step 3: Cross multiply
    10,501x = 21,482 × 21,482
  4. Step 4: Simplify right side
    10,501x = 461,476,324
  5. Step 5: Solve for x
    x = 461,476,324/10,501
  6. Step 6: Final answer
    x = 43,945.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.