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Finding the Third Proportional to 402,816 and 940,800

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Solution

The third proportional to 402,816 and 940,800 is: 2,197,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,816 : 940,800 = 940,800 : x
  2. Step 2: Convert to fraction form
    402,816/940,800 = 940,800/x
  3. Step 3: Cross multiply
    402,816x = 940,800 × 940,800
  4. Step 4: Simplify right side
    402,816x = 885,104,640,000
  5. Step 5: Solve for x
    x = 885,104,640,000/402,816
  6. Step 6: Final answer
    x = 2,197,292.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.