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Finding the Third Proportional to 288,832 and 655,966

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Solution

The third proportional to 288,832 and 655,966 is: 1,489,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,832 : 655,966 = 655,966 : x
  2. Step 2: Convert to fraction form
    288,832/655,966 = 655,966/x
  3. Step 3: Cross multiply
    288,832x = 655,966 × 655,966
  4. Step 4: Simplify right side
    288,832x = 430,291,393,156
  5. Step 5: Solve for x
    x = 430,291,393,156/288,832
  6. Step 6: Final answer
    x = 1,489,763.58

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.