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Finding the Third Proportional to 285,488 and 618,728

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Solution

The third proportional to 285,488 and 618,728 is: 1,340,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,488 : 618,728 = 618,728 : x
  2. Step 2: Convert to fraction form
    285,488/618,728 = 618,728/x
  3. Step 3: Cross multiply
    285,488x = 618,728 × 618,728
  4. Step 4: Simplify right side
    285,488x = 382,824,337,984
  5. Step 5: Solve for x
    x = 382,824,337,984/285,488
  6. Step 6: Final answer
    x = 1,340,947.21

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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.