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Finding the Third Proportional to 178,912 and 385,851

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Solution

The third proportional to 178,912 and 385,851 is: 832,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,912 : 385,851 = 385,851 : x
  2. Step 2: Convert to fraction form
    178,912/385,851 = 385,851/x
  3. Step 3: Cross multiply
    178,912x = 385,851 × 385,851
  4. Step 4: Simplify right side
    178,912x = 148,880,994,201
  5. Step 5: Solve for x
    x = 148,880,994,201/178,912
  6. Step 6: Final answer
    x = 832,146.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.