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Finding the Third Proportional to 159,129 and 345,865.50

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Solution

The third proportional to 159,129 and 345,865.50 is: 751,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,129 : 345,865.50 = 345,865.50 : x
  2. Step 2: Convert to fraction form
    159,129/345,865.50 = 345,865.50/x
  3. Step 3: Cross multiply
    159,129x = 345,865.50 × 345,865.50
  4. Step 4: Simplify right side
    159,129x = 119,622,944,090.25
  5. Step 5: Solve for x
    x = 119,622,944,090.25/159,129
  6. Step 6: Final answer
    x = 751,735.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.