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Finding the Third Proportional to 140,976 and 328,955

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Solution

The third proportional to 140,976 and 328,955 is: 767,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 328,955 = 328,955 : x
  2. Step 2: Convert to fraction form
    140,976/328,955 = 328,955/x
  3. Step 3: Cross multiply
    140,976x = 328,955 × 328,955
  4. Step 4: Simplify right side
    140,976x = 108,211,392,025
  5. Step 5: Solve for x
    x = 108,211,392,025/140,976
  6. Step 6: Final answer
    x = 767,587.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.