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Finding the Third Proportional to 119,824 and 258,080

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Solution

The third proportional to 119,824 and 258,080 is: 555,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,824 : 258,080 = 258,080 : x
  2. Step 2: Convert to fraction form
    119,824/258,080 = 258,080/x
  3. Step 3: Cross multiply
    119,824x = 258,080 × 258,080
  4. Step 4: Simplify right side
    119,824x = 66,605,286,400
  5. Step 5: Solve for x
    x = 66,605,286,400/119,824
  6. Step 6: Final answer
    x = 555,859.31

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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.