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Finding the Third Proportional to 428,793 and 630,351

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Solution

The third proportional to 428,793 and 630,351 is: 926,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,793 : 630,351 = 630,351 : x
  2. Step 2: Convert to fraction form
    428,793/630,351 = 630,351/x
  3. Step 3: Cross multiply
    428,793x = 630,351 × 630,351
  4. Step 4: Simplify right side
    428,793x = 397,342,383,201
  5. Step 5: Solve for x
    x = 397,342,383,201/428,793
  6. Step 6: Final answer
    x = 926,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.