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Finding the Third Proportional to 328,828.50 and 706,608.75

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Solution

The third proportional to 328,828.50 and 706,608.75 is: 1,518,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,828.50 : 706,608.75 = 706,608.75 : x
  2. Step 2: Convert to fraction form
    328,828.50/706,608.75 = 706,608.75/x
  3. Step 3: Cross multiply
    328,828.50x = 706,608.75 × 706,608.75
  4. Step 4: Simplify right side
    328,828.50x = 499,295,925,576.56
  5. Step 5: Solve for x
    x = 499,295,925,576.56/328,828.50
  6. Step 6: Final answer
    x = 1,518,408.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.