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Finding the Third Proportional to 51,010.75 and 111,056.25

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Solution

The third proportional to 51,010.75 and 111,056.25 is: 241,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010.75 : 111,056.25 = 111,056.25 : x
  2. Step 2: Convert to fraction form
    51,010.75/111,056.25 = 111,056.25/x
  3. Step 3: Cross multiply
    51,010.75x = 111,056.25 × 111,056.25
  4. Step 4: Simplify right side
    51,010.75x = 12,333,490,664.06
  5. Step 5: Solve for x
    x = 12,333,490,664.06/51,010.75
  6. Step 6: Final answer
    x = 241,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.