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Finding the Third Proportional to 138,920 and 297,936

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Solution

The third proportional to 138,920 and 297,936 is: 638,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920 : 297,936 = 297,936 : x
  2. Step 2: Convert to fraction form
    138,920/297,936 = 297,936/x
  3. Step 3: Cross multiply
    138,920x = 297,936 × 297,936
  4. Step 4: Simplify right side
    138,920x = 88,765,860,096
  5. Step 5: Solve for x
    x = 88,765,860,096/138,920
  6. Step 6: Final answer
    x = 638,971.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.