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Finding the Third Proportional to 383,140 and 821,330

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Solution

The third proportional to 383,140 and 821,330 is: 1,760,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,140 : 821,330 = 821,330 : x
  2. Step 2: Convert to fraction form
    383,140/821,330 = 821,330/x
  3. Step 3: Cross multiply
    383,140x = 821,330 × 821,330
  4. Step 4: Simplify right side
    383,140x = 674,582,968,900
  5. Step 5: Solve for x
    x = 674,582,968,900/383,140
  6. Step 6: Final answer
    x = 1,760,669.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.