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Finding the Third Proportional to 26,098 and 56,448

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Solution

The third proportional to 26,098 and 56,448 is: 122,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098 : 56,448 = 56,448 : x
  2. Step 2: Convert to fraction form
    26,098/56,448 = 56,448/x
  3. Step 3: Cross multiply
    26,098x = 56,448 × 56,448
  4. Step 4: Simplify right side
    26,098x = 3,186,376,704
  5. Step 5: Solve for x
    x = 3,186,376,704/26,098
  6. Step 6: Final answer
    x = 122,092.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.