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Finding the Third Proportional to 394,545 and 862,899

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Solution

The third proportional to 394,545 and 862,899 is: 1,887,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,545 : 862,899 = 862,899 : x
  2. Step 2: Convert to fraction form
    394,545/862,899 = 862,899/x
  3. Step 3: Cross multiply
    394,545x = 862,899 × 862,899
  4. Step 4: Simplify right side
    394,545x = 744,594,684,201
  5. Step 5: Solve for x
    x = 744,594,684,201/394,545
  6. Step 6: Final answer
    x = 1,887,223.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.