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Finding the Third Proportional to 259,824 and 578,670

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Solution

The third proportional to 259,824 and 578,670 is: 1,288,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,824 : 578,670 = 578,670 : x
  2. Step 2: Convert to fraction form
    259,824/578,670 = 578,670/x
  3. Step 3: Cross multiply
    259,824x = 578,670 × 578,670
  4. Step 4: Simplify right side
    259,824x = 334,858,968,900
  5. Step 5: Solve for x
    x = 334,858,968,900/259,824
  6. Step 6: Final answer
    x = 1,288,791.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.