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Finding the Third Proportional to 286,539 and 622,830

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Solution

The third proportional to 286,539 and 622,830 is: 1,353,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,539 : 622,830 = 622,830 : x
  2. Step 2: Convert to fraction form
    286,539/622,830 = 622,830/x
  3. Step 3: Cross multiply
    286,539x = 622,830 × 622,830
  4. Step 4: Simplify right side
    286,539x = 387,917,208,900
  5. Step 5: Solve for x
    x = 387,917,208,900/286,539
  6. Step 6: Final answer
    x = 1,353,802.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.