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Finding the Third Proportional to 299,271 and 656,697

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Solution

The third proportional to 299,271 and 656,697 is: 1,441,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271 : 656,697 = 656,697 : x
  2. Step 2: Convert to fraction form
    299,271/656,697 = 656,697/x
  3. Step 3: Cross multiply
    299,271x = 656,697 × 656,697
  4. Step 4: Simplify right side
    299,271x = 431,250,949,809
  5. Step 5: Solve for x
    x = 431,250,949,809/299,271
  6. Step 6: Final answer
    x = 1,441,004.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.