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Finding the Third Proportional to 10,181.75 and 21,457

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Solution

The third proportional to 10,181.75 and 21,457 is: 45,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.75 : 21,457 = 21,457 : x
  2. Step 2: Convert to fraction form
    10,181.75/21,457 = 21,457/x
  3. Step 3: Cross multiply
    10,181.75x = 21,457 × 21,457
  4. Step 4: Simplify right side
    10,181.75x = 460,402,849
  5. Step 5: Solve for x
    x = 460,402,849/10,181.75
  6. Step 6: Final answer
    x = 45,218.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.