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Finding the Third Proportional to 296,902 and 622,980

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Solution

The third proportional to 296,902 and 622,980 is: 1,307,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,902 : 622,980 = 622,980 : x
  2. Step 2: Convert to fraction form
    296,902/622,980 = 622,980/x
  3. Step 3: Cross multiply
    296,902x = 622,980 × 622,980
  4. Step 4: Simplify right side
    296,902x = 388,104,080,400
  5. Step 5: Solve for x
    x = 388,104,080,400/296,902
  6. Step 6: Final answer
    x = 1,307,179.07

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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.