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Finding the Third Proportional to 26,455 and 56,515

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Solution

The third proportional to 26,455 and 56,515 is: 120,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455 : 56,515 = 56,515 : x
  2. Step 2: Convert to fraction form
    26,455/56,515 = 56,515/x
  3. Step 3: Cross multiply
    26,455x = 56,515 × 56,515
  4. Step 4: Simplify right side
    26,455x = 3,193,945,225
  5. Step 5: Solve for x
    x = 3,193,945,225/26,455
  6. Step 6: Final answer
    x = 120,731.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.