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Finding the Third Proportional to 289,754 and 443,245

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Solution

The third proportional to 289,754 and 443,245 is: 678,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,754 : 443,245 = 443,245 : x
  2. Step 2: Convert to fraction form
    289,754/443,245 = 443,245/x
  3. Step 3: Cross multiply
    289,754x = 443,245 × 443,245
  4. Step 4: Simplify right side
    289,754x = 196,466,130,025
  5. Step 5: Solve for x
    x = 196,466,130,025/289,754
  6. Step 6: Final answer
    x = 678,044.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.