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Finding the Third Proportional to 303,640 and 454,056

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Solution

The third proportional to 303,640 and 454,056 is: 678,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,640 : 454,056 = 454,056 : x
  2. Step 2: Convert to fraction form
    303,640/454,056 = 454,056/x
  3. Step 3: Cross multiply
    303,640x = 454,056 × 454,056
  4. Step 4: Simplify right side
    303,640x = 206,166,851,136
  5. Step 5: Solve for x
    x = 206,166,851,136/303,640
  6. Step 6: Final answer
    x = 678,984.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.