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Finding the Third Proportional to 395,421.19 and 818,879.06

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Solution

The third proportional to 395,421.19 and 818,879.06 is: 1,695,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,421.19 : 818,879.06 = 818,879.06 : x
  2. Step 2: Convert to fraction form
    395,421.19/818,879.06 = 818,879.06/x
  3. Step 3: Cross multiply
    395,421.19x = 818,879.06 × 818,879.06
  4. Step 4: Simplify right side
    395,421.19x = 670,562,919,000.88
  5. Step 5: Solve for x
    x = 670,562,919,000.88/395,421.19
  6. Step 6: Final answer
    x = 1,695,819.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.