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Finding the Third Proportional to 393,984 and 576,999

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Solution

The third proportional to 393,984 and 576,999 is: 845,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984 : 576,999 = 576,999 : x
  2. Step 2: Convert to fraction form
    393,984/576,999 = 576,999/x
  3. Step 3: Cross multiply
    393,984x = 576,999 × 576,999
  4. Step 4: Simplify right side
    393,984x = 332,927,846,001
  5. Step 5: Solve for x
    x = 332,927,846,001/393,984
  6. Step 6: Final answer
    x = 845,028.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.