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Finding the Third Proportional to 178,096 and 420,427

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Solution

The third proportional to 178,096 and 420,427 is: 992,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096 : 420,427 = 420,427 : x
  2. Step 2: Convert to fraction form
    178,096/420,427 = 420,427/x
  3. Step 3: Cross multiply
    178,096x = 420,427 × 420,427
  4. Step 4: Simplify right side
    178,096x = 176,758,862,329
  5. Step 5: Solve for x
    x = 176,758,862,329/178,096
  6. Step 6: Final answer
    x = 992,492.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.