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Finding the Third Proportional to 213,920 and 328,838

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Solution

The third proportional to 213,920 and 328,838 is: 505,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,920 : 328,838 = 328,838 : x
  2. Step 2: Convert to fraction form
    213,920/328,838 = 328,838/x
  3. Step 3: Cross multiply
    213,920x = 328,838 × 328,838
  4. Step 4: Simplify right side
    213,920x = 108,134,430,244
  5. Step 5: Solve for x
    x = 108,134,430,244/213,920
  6. Step 6: Final answer
    x = 505,490.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.