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Finding the Third Proportional to 299,768 and 620,666

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Solution

The third proportional to 299,768 and 620,666 is: 1,285,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,768 : 620,666 = 620,666 : x
  2. Step 2: Convert to fraction form
    299,768/620,666 = 620,666/x
  3. Step 3: Cross multiply
    299,768x = 620,666 × 620,666
  4. Step 4: Simplify right side
    299,768x = 385,226,283,556
  5. Step 5: Solve for x
    x = 385,226,283,556/299,768
  6. Step 6: Final answer
    x = 1,285,081.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.