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Finding the Third Proportional to 13,457 and 27,586

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Solution

The third proportional to 13,457 and 27,586 is: 56,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457 : 27,586 = 27,586 : x
  2. Step 2: Convert to fraction form
    13,457/27,586 = 27,586/x
  3. Step 3: Cross multiply
    13,457x = 27,586 × 27,586
  4. Step 4: Simplify right side
    13,457x = 760,987,396
  5. Step 5: Solve for x
    x = 760,987,396/13,457
  6. Step 6: Final answer
    x = 56,549.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.