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Finding the Third Proportional to 308,045 and 620,669

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Solution

The third proportional to 308,045 and 620,669 is: 1,250,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,045 : 620,669 = 620,669 : x
  2. Step 2: Convert to fraction form
    308,045/620,669 = 620,669/x
  3. Step 3: Cross multiply
    308,045x = 620,669 × 620,669
  4. Step 4: Simplify right side
    308,045x = 385,230,007,561
  5. Step 5: Solve for x
    x = 385,230,007,561/308,045
  6. Step 6: Final answer
    x = 1,250,564.07

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.