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Finding the Third Proportional to 437,720 and 940,830

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Solution

The third proportional to 437,720 and 940,830 is: 2,022,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,720 : 940,830 = 940,830 : x
  2. Step 2: Convert to fraction form
    437,720/940,830 = 940,830/x
  3. Step 3: Cross multiply
    437,720x = 940,830 × 940,830
  4. Step 4: Simplify right side
    437,720x = 885,161,088,900
  5. Step 5: Solve for x
    x = 885,161,088,900/437,720
  6. Step 6: Final answer
    x = 2,022,208.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.