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Finding the Third Proportional to 415,163.60 and 620,584.03

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Solution

The third proportional to 415,163.60 and 620,584.03 is: 927,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,163.60 : 620,584.03 = 620,584.03 : x
  2. Step 2: Convert to fraction form
    415,163.60/620,584.03 = 620,584.03/x
  3. Step 3: Cross multiply
    415,163.60x = 620,584.03 × 620,584.03
  4. Step 4: Simplify right side
    415,163.60x = 385,124,539,842.50
  5. Step 5: Solve for x
    x = 385,124,539,842.50/415,163.60
  6. Step 6: Final answer
    x = 927,645.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.