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Finding the Third Proportional to 298,647 and 656,343

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Solution

The third proportional to 298,647 and 656,343 is: 1,442,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,647 : 656,343 = 656,343 : x
  2. Step 2: Convert to fraction form
    298,647/656,343 = 656,343/x
  3. Step 3: Cross multiply
    298,647x = 656,343 × 656,343
  4. Step 4: Simplify right side
    298,647x = 430,786,133,649
  5. Step 5: Solve for x
    x = 430,786,133,649/298,647
  6. Step 6: Final answer
    x = 1,442,459.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.