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Finding the Third Proportional to 21,072 and 29,646

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Solution

The third proportional to 21,072 and 29,646 is: 41,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 29,646 = 29,646 : x
  2. Step 2: Convert to fraction form
    21,072/29,646 = 29,646/x
  3. Step 3: Cross multiply
    21,072x = 29,646 × 29,646
  4. Step 4: Simplify right side
    21,072x = 878,885,316
  5. Step 5: Solve for x
    x = 878,885,316/21,072
  6. Step 6: Final answer
    x = 41,708.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.