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Finding the Third Proportional to 51,403 and 118,991

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Solution

The third proportional to 51,403 and 118,991 is: 275,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,403 : 118,991 = 118,991 : x
  2. Step 2: Convert to fraction form
    51,403/118,991 = 118,991/x
  3. Step 3: Cross multiply
    51,403x = 118,991 × 118,991
  4. Step 4: Simplify right side
    51,403x = 14,158,858,081
  5. Step 5: Solve for x
    x = 14,158,858,081/51,403
  6. Step 6: Final answer
    x = 275,448.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.