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Finding the Third Proportional to 356,988 and 743,568

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Solution

The third proportional to 356,988 and 743,568 is: 1,548,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,988 : 743,568 = 743,568 : x
  2. Step 2: Convert to fraction form
    356,988/743,568 = 743,568/x
  3. Step 3: Cross multiply
    356,988x = 743,568 × 743,568
  4. Step 4: Simplify right side
    356,988x = 552,893,370,624
  5. Step 5: Solve for x
    x = 552,893,370,624/356,988
  6. Step 6: Final answer
    x = 1,548,772.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.