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Finding the Third Proportional to 145,845 and 218,771

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Solution

The third proportional to 145,845 and 218,771 is: 328,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845 : 218,771 = 218,771 : x
  2. Step 2: Convert to fraction form
    145,845/218,771 = 218,771/x
  3. Step 3: Cross multiply
    145,845x = 218,771 × 218,771
  4. Step 4: Simplify right side
    145,845x = 47,860,750,441
  5. Step 5: Solve for x
    x = 47,860,750,441/145,845
  6. Step 6: Final answer
    x = 328,161.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.