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Finding the Third Proportional to 313,460 and 674,056

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Solution

The third proportional to 313,460 and 674,056 is: 1,449,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,460 : 674,056 = 674,056 : x
  2. Step 2: Convert to fraction form
    313,460/674,056 = 674,056/x
  3. Step 3: Cross multiply
    313,460x = 674,056 × 674,056
  4. Step 4: Simplify right side
    313,460x = 454,351,491,136
  5. Step 5: Solve for x
    x = 454,351,491,136/313,460
  6. Step 6: Final answer
    x = 1,449,471.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.