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Finding the Third Proportional to 157,922 and 326,980

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Solution

The third proportional to 157,922 and 326,980 is: 677,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,922 : 326,980 = 326,980 : x
  2. Step 2: Convert to fraction form
    157,922/326,980 = 326,980/x
  3. Step 3: Cross multiply
    157,922x = 326,980 × 326,980
  4. Step 4: Simplify right side
    157,922x = 106,915,920,400
  5. Step 5: Solve for x
    x = 106,915,920,400/157,922
  6. Step 6: Final answer
    x = 677,017.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.