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Finding the Third Proportional to 411,000 and 613,728

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Solution

The third proportional to 411,000 and 613,728 is: 916,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,000 : 613,728 = 613,728 : x
  2. Step 2: Convert to fraction form
    411,000/613,728 = 613,728/x
  3. Step 3: Cross multiply
    411,000x = 613,728 × 613,728
  4. Step 4: Simplify right side
    411,000x = 376,662,057,984
  5. Step 5: Solve for x
    x = 376,662,057,984/411,000
  6. Step 6: Final answer
    x = 916,452.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.