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Finding the Third Proportional to 183,738 and 393,717

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Solution

The third proportional to 183,738 and 393,717 is: 843,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,738 : 393,717 = 393,717 : x
  2. Step 2: Convert to fraction form
    183,738/393,717 = 393,717/x
  3. Step 3: Cross multiply
    183,738x = 393,717 × 393,717
  4. Step 4: Simplify right side
    183,738x = 155,013,076,089
  5. Step 5: Solve for x
    x = 155,013,076,089/183,738
  6. Step 6: Final answer
    x = 843,663.67

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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.