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Finding the Third Proportional to 382,880 and 842,944

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Solution

The third proportional to 382,880 and 842,944 is: 1,855,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,880 : 842,944 = 842,944 : x
  2. Step 2: Convert to fraction form
    382,880/842,944 = 842,944/x
  3. Step 3: Cross multiply
    382,880x = 842,944 × 842,944
  4. Step 4: Simplify right side
    382,880x = 710,554,587,136
  5. Step 5: Solve for x
    x = 710,554,587,136/382,880
  6. Step 6: Final answer
    x = 1,855,815.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.