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Finding the Third Proportional to 299,630 and 643,729

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Solution

The third proportional to 299,630 and 643,729 is: 1,382,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,630 : 643,729 = 643,729 : x
  2. Step 2: Convert to fraction form
    299,630/643,729 = 643,729/x
  3. Step 3: Cross multiply
    299,630x = 643,729 × 643,729
  4. Step 4: Simplify right side
    299,630x = 414,387,025,441
  5. Step 5: Solve for x
    x = 414,387,025,441/299,630
  6. Step 6: Final answer
    x = 1,382,995.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.