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Finding the Third Proportional to 288,961 and 383,524

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Solution

The third proportional to 288,961 and 383,524 is: 509,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961 : 383,524 = 383,524 : x
  2. Step 2: Convert to fraction form
    288,961/383,524 = 383,524/x
  3. Step 3: Cross multiply
    288,961x = 383,524 × 383,524
  4. Step 4: Simplify right side
    288,961x = 147,090,658,576
  5. Step 5: Solve for x
    x = 147,090,658,576/288,961
  6. Step 6: Final answer
    x = 509,032.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.