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Finding the Third Proportional to 21,647 and 32,471

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Solution

The third proportional to 21,647 and 32,471 is: 48,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647 : 32,471 = 32,471 : x
  2. Step 2: Convert to fraction form
    21,647/32,471 = 32,471/x
  3. Step 3: Cross multiply
    21,647x = 32,471 × 32,471
  4. Step 4: Simplify right side
    21,647x = 1,054,365,841
  5. Step 5: Solve for x
    x = 1,054,365,841/21,647
  6. Step 6: Final answer
    x = 48,707.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.