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Finding the Third Proportional to 298,050 and 645,825

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Solution

The third proportional to 298,050 and 645,825 is: 1,399,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,050 : 645,825 = 645,825 : x
  2. Step 2: Convert to fraction form
    298,050/645,825 = 645,825/x
  3. Step 3: Cross multiply
    298,050x = 645,825 × 645,825
  4. Step 4: Simplify right side
    298,050x = 417,089,930,625
  5. Step 5: Solve for x
    x = 417,089,930,625/298,050
  6. Step 6: Final answer
    x = 1,399,395.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.