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Finding the Third Proportional to 328,539.80 and 706,161.80

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Solution

The third proportional to 328,539.80 and 706,161.80 is: 1,517,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,539.80 : 706,161.80 = 706,161.80 : x
  2. Step 2: Convert to fraction form
    328,539.80/706,161.80 = 706,161.80/x
  3. Step 3: Cross multiply
    328,539.80x = 706,161.80 × 706,161.80
  4. Step 4: Simplify right side
    328,539.80x = 498,664,483,365.73
  5. Step 5: Solve for x
    x = 498,664,483,365.73/328,539.80
  6. Step 6: Final answer
    x = 1,517,820.64

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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.