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Finding the Third Proportional to 9,742 and 21,302

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Solution

The third proportional to 9,742 and 21,302 is: 46,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 21,302 = 21,302 : x
  2. Step 2: Convert to fraction form
    9,742/21,302 = 21,302/x
  3. Step 3: Cross multiply
    9,742x = 21,302 × 21,302
  4. Step 4: Simplify right side
    9,742x = 453,775,204
  5. Step 5: Solve for x
    x = 453,775,204/9,742
  6. Step 6: Final answer
    x = 46,579.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.