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Finding the Third Proportional to 300,240 and 642,432

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Solution

The third proportional to 300,240 and 642,432 is: 1,374,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,240 : 642,432 = 642,432 : x
  2. Step 2: Convert to fraction form
    300,240/642,432 = 642,432/x
  3. Step 3: Cross multiply
    300,240x = 642,432 × 642,432
  4. Step 4: Simplify right side
    300,240x = 412,718,874,624
  5. Step 5: Solve for x
    x = 412,718,874,624/300,240
  6. Step 6: Final answer
    x = 1,374,629.88

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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.