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Finding the Third Proportional to 157,920 and 326,976

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Solution

The third proportional to 157,920 and 326,976 is: 677,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 326,976 = 326,976 : x
  2. Step 2: Convert to fraction form
    157,920/326,976 = 326,976/x
  3. Step 3: Cross multiply
    157,920x = 326,976 × 326,976
  4. Step 4: Simplify right side
    157,920x = 106,913,304,576
  5. Step 5: Solve for x
    x = 106,913,304,576/157,920
  6. Step 6: Final answer
    x = 677,009.27

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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.