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Finding the Third Proportional to 173,286 and 377,910

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Solution

The third proportional to 173,286 and 377,910 is: 824,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,286 : 377,910 = 377,910 : x
  2. Step 2: Convert to fraction form
    173,286/377,910 = 377,910/x
  3. Step 3: Cross multiply
    173,286x = 377,910 × 377,910
  4. Step 4: Simplify right side
    173,286x = 142,815,968,100
  5. Step 5: Solve for x
    x = 142,815,968,100/173,286
  6. Step 6: Final answer
    x = 824,163.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.