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Finding the Third Proportional to 74,778 and 161,296.50

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Solution

The third proportional to 74,778 and 161,296.50 is: 347,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778 : 161,296.50 = 161,296.50 : x
  2. Step 2: Convert to fraction form
    74,778/161,296.50 = 161,296.50/x
  3. Step 3: Cross multiply
    74,778x = 161,296.50 × 161,296.50
  4. Step 4: Simplify right side
    74,778x = 26,016,560,912.25
  5. Step 5: Solve for x
    x = 26,016,560,912.25/74,778
  6. Step 6: Final answer
    x = 347,917.31

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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.