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Finding the Third Proportional to 288,952 and 383,512

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Solution

The third proportional to 288,952 and 383,512 is: 509,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,952 : 383,512 = 383,512 : x
  2. Step 2: Convert to fraction form
    288,952/383,512 = 383,512/x
  3. Step 3: Cross multiply
    288,952x = 383,512 × 383,512
  4. Step 4: Simplify right side
    288,952x = 147,081,454,144
  5. Step 5: Solve for x
    x = 147,081,454,144/288,952
  6. Step 6: Final answer
    x = 509,016.91

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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.