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Finding the Third Proportional to 300,244 and 642,440

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Solution

The third proportional to 300,244 and 642,440 is: 1,374,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,244 : 642,440 = 642,440 : x
  2. Step 2: Convert to fraction form
    300,244/642,440 = 642,440/x
  3. Step 3: Cross multiply
    300,244x = 642,440 × 642,440
  4. Step 4: Simplify right side
    300,244x = 412,729,153,600
  5. Step 5: Solve for x
    x = 412,729,153,600/300,244
  6. Step 6: Final answer
    x = 1,374,645.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.