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Finding the Third Proportional to 259,956 and 347,710.50

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Solution

The third proportional to 259,956 and 347,710.50 is: 465,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,956 : 347,710.50 = 347,710.50 : x
  2. Step 2: Convert to fraction form
    259,956/347,710.50 = 347,710.50/x
  3. Step 3: Cross multiply
    259,956x = 347,710.50 × 347,710.50
  4. Step 4: Simplify right side
    259,956x = 120,902,591,810.25
  5. Step 5: Solve for x
    x = 120,902,591,810.25/259,956
  6. Step 6: Final answer
    x = 465,088.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.