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Finding the Third Proportional to 285,784 and 627,968

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Solution

The third proportional to 285,784 and 627,968 is: 1,379,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,784 : 627,968 = 627,968 : x
  2. Step 2: Convert to fraction form
    285,784/627,968 = 627,968/x
  3. Step 3: Cross multiply
    285,784x = 627,968 × 627,968
  4. Step 4: Simplify right side
    285,784x = 394,343,809,024
  5. Step 5: Solve for x
    x = 394,343,809,024/285,784
  6. Step 6: Final answer
    x = 1,379,866.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.