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Finding the Third Proportional to 285,004 and 400,852

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Solution

The third proportional to 285,004 and 400,852 is: 563,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,004 : 400,852 = 400,852 : x
  2. Step 2: Convert to fraction form
    285,004/400,852 = 400,852/x
  3. Step 3: Cross multiply
    285,004x = 400,852 × 400,852
  4. Step 4: Simplify right side
    285,004x = 160,682,325,904
  5. Step 5: Solve for x
    x = 160,682,325,904/285,004
  6. Step 6: Final answer
    x = 563,789.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.