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Finding the Third Proportional to 178,621 and 385,286

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Solution

The third proportional to 178,621 and 385,286 is: 831,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,621 : 385,286 = 385,286 : x
  2. Step 2: Convert to fraction form
    178,621/385,286 = 385,286/x
  3. Step 3: Cross multiply
    178,621x = 385,286 × 385,286
  4. Step 4: Simplify right side
    178,621x = 148,445,301,796
  5. Step 5: Solve for x
    x = 148,445,301,796/178,621
  6. Step 6: Final answer
    x = 831,062.99

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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.