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Finding the Third Proportional to 259,824 and 380,520

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Solution

The third proportional to 259,824 and 380,520 is: 557,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,824 : 380,520 = 380,520 : x
  2. Step 2: Convert to fraction form
    259,824/380,520 = 380,520/x
  3. Step 3: Cross multiply
    259,824x = 380,520 × 380,520
  4. Step 4: Simplify right side
    259,824x = 144,795,470,400
  5. Step 5: Solve for x
    x = 144,795,470,400/259,824
  6. Step 6: Final answer
    x = 557,282.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.