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Finding the Third Proportional to 399,616 and 618,724

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Solution

The third proportional to 399,616 and 618,724 is: 957,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616 : 618,724 = 618,724 : x
  2. Step 2: Convert to fraction form
    399,616/618,724 = 618,724/x
  3. Step 3: Cross multiply
    399,616x = 618,724 × 618,724
  4. Step 4: Simplify right side
    399,616x = 382,819,388,176
  5. Step 5: Solve for x
    x = 382,819,388,176/399,616
  6. Step 6: Final answer
    x = 957,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.