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Finding the Third Proportional to 361,858 and 756,728

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Solution

The third proportional to 361,858 and 756,728 is: 1,582,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,858 : 756,728 = 756,728 : x
  2. Step 2: Convert to fraction form
    361,858/756,728 = 756,728/x
  3. Step 3: Cross multiply
    361,858x = 756,728 × 756,728
  4. Step 4: Simplify right side
    361,858x = 572,637,265,984
  5. Step 5: Solve for x
    x = 572,637,265,984/361,858
  6. Step 6: Final answer
    x = 1,582,491.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.