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Finding the Third Proportional to 401,828 and 856,968

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Solution

The third proportional to 401,828 and 856,968 is: 1,827,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,828 : 856,968 = 856,968 : x
  2. Step 2: Convert to fraction form
    401,828/856,968 = 856,968/x
  3. Step 3: Cross multiply
    401,828x = 856,968 × 856,968
  4. Step 4: Simplify right side
    401,828x = 734,394,153,024
  5. Step 5: Solve for x
    x = 734,394,153,024/401,828
  6. Step 6: Final answer
    x = 1,827,633.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.