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Finding the Third Proportional to 285,420 and 618,384

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Solution

The third proportional to 285,420 and 618,384 is: 1,339,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,420 : 618,384 = 618,384 : x
  2. Step 2: Convert to fraction form
    285,420/618,384 = 618,384/x
  3. Step 3: Cross multiply
    285,420x = 618,384 × 618,384
  4. Step 4: Simplify right side
    285,420x = 382,398,771,456
  5. Step 5: Solve for x
    x = 382,398,771,456/285,420
  6. Step 6: Final answer
    x = 1,339,775.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.