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Finding the Third Proportional to 57,305 and 121,991.50

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Solution

The third proportional to 57,305 and 121,991.50 is: 259,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305 : 121,991.50 = 121,991.50 : x
  2. Step 2: Convert to fraction form
    57,305/121,991.50 = 121,991.50/x
  3. Step 3: Cross multiply
    57,305x = 121,991.50 × 121,991.50
  4. Step 4: Simplify right side
    57,305x = 14,881,926,072.25
  5. Step 5: Solve for x
    x = 14,881,926,072.25/57,305
  6. Step 6: Final answer
    x = 259,696.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.