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Finding the Third Proportional to 300,246 and 642,444

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Solution

The third proportional to 300,246 and 642,444 is: 1,374,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,246 : 642,444 = 642,444 : x
  2. Step 2: Convert to fraction form
    300,246/642,444 = 642,444/x
  3. Step 3: Cross multiply
    300,246x = 642,444 × 642,444
  4. Step 4: Simplify right side
    300,246x = 412,734,293,136
  5. Step 5: Solve for x
    x = 412,734,293,136/300,246
  6. Step 6: Final answer
    x = 1,374,653.76

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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.