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Finding the Third Proportional to 393,669 and 824,760

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Solution

The third proportional to 393,669 and 824,760 is: 1,727,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,669 : 824,760 = 824,760 : x
  2. Step 2: Convert to fraction form
    393,669/824,760 = 824,760/x
  3. Step 3: Cross multiply
    393,669x = 824,760 × 824,760
  4. Step 4: Simplify right side
    393,669x = 680,229,057,600
  5. Step 5: Solve for x
    x = 680,229,057,600/393,669
  6. Step 6: Final answer
    x = 1,727,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.