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Finding the Third Proportional to 195,120 and 399,456

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Solution

The third proportional to 195,120 and 399,456 is: 817,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,120 : 399,456 = 399,456 : x
  2. Step 2: Convert to fraction form
    195,120/399,456 = 399,456/x
  3. Step 3: Cross multiply
    195,120x = 399,456 × 399,456
  4. Step 4: Simplify right side
    195,120x = 159,565,095,936
  5. Step 5: Solve for x
    x = 159,565,095,936/195,120
  6. Step 6: Final answer
    x = 817,779.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.