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Finding the Third Proportional to 299,133 and 642,114

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Solution

The third proportional to 299,133 and 642,114 is: 1,378,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133 : 642,114 = 642,114 : x
  2. Step 2: Convert to fraction form
    299,133/642,114 = 642,114/x
  3. Step 3: Cross multiply
    299,133x = 642,114 × 642,114
  4. Step 4: Simplify right side
    299,133x = 412,310,388,996
  5. Step 5: Solve for x
    x = 412,310,388,996/299,133
  6. Step 6: Final answer
    x = 1,378,351.40

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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.