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Finding the Third Proportional to 51,355 and 107,678

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Solution

The third proportional to 51,355 and 107,678 is: 225,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,355 : 107,678 = 107,678 : x
  2. Step 2: Convert to fraction form
    51,355/107,678 = 107,678/x
  3. Step 3: Cross multiply
    51,355x = 107,678 × 107,678
  4. Step 4: Simplify right side
    51,355x = 11,594,551,684
  5. Step 5: Solve for x
    x = 11,594,551,684/51,355
  6. Step 6: Final answer
    x = 225,772.60

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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.