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Finding the Third Proportional to 285,014 and 400,866

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Solution

The third proportional to 285,014 and 400,866 is: 563,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,014 : 400,866 = 400,866 : x
  2. Step 2: Convert to fraction form
    285,014/400,866 = 400,866/x
  3. Step 3: Cross multiply
    285,014x = 400,866 × 400,866
  4. Step 4: Simplify right side
    285,014x = 160,693,549,956
  5. Step 5: Solve for x
    x = 160,693,549,956/285,014
  6. Step 6: Final answer
    x = 563,809.32

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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.