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Finding the Third Proportional to 21,638 and 32,457

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Solution

The third proportional to 21,638 and 32,457 is: 48,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 32,457 = 32,457 : x
  2. Step 2: Convert to fraction form
    21,638/32,457 = 32,457/x
  3. Step 3: Cross multiply
    21,638x = 32,457 × 32,457
  4. Step 4: Simplify right side
    21,638x = 1,053,456,849
  5. Step 5: Solve for x
    x = 1,053,456,849/21,638
  6. Step 6: Final answer
    x = 48,685.50

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1.5x scale

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.