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Finding the Third Proportional to 428,706 and 630,234

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Solution

The third proportional to 428,706 and 630,234 is: 926,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,706 : 630,234 = 630,234 : x
  2. Step 2: Convert to fraction form
    428,706/630,234 = 630,234/x
  3. Step 3: Cross multiply
    428,706x = 630,234 × 630,234
  4. Step 4: Simplify right side
    428,706x = 397,194,894,756
  5. Step 5: Solve for x
    x = 397,194,894,756/428,706
  6. Step 6: Final answer
    x = 926,497.17

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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.