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Finding the Third Proportional to 26,431 and 55,457

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Solution

The third proportional to 26,431 and 55,457 is: 116,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431 : 55,457 = 55,457 : x
  2. Step 2: Convert to fraction form
    26,431/55,457 = 55,457/x
  3. Step 3: Cross multiply
    26,431x = 55,457 × 55,457
  4. Step 4: Simplify right side
    26,431x = 3,075,478,849
  5. Step 5: Solve for x
    x = 3,075,478,849/26,431
  6. Step 6: Final answer
    x = 116,358.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.