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Finding the Third Proportional to 21,622.50 and 38,457

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Solution

The third proportional to 21,622.50 and 38,457 is: 68,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.50 : 38,457 = 38,457 : x
  2. Step 2: Convert to fraction form
    21,622.50/38,457 = 38,457/x
  3. Step 3: Cross multiply
    21,622.50x = 38,457 × 38,457
  4. Step 4: Simplify right side
    21,622.50x = 1,478,940,849
  5. Step 5: Solve for x
    x = 1,478,940,849/21,622.50
  6. Step 6: Final answer
    x = 68,398.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.