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Finding the Third Proportional to 241,015 and 509,120

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Solution

The third proportional to 241,015 and 509,120 is: 1,075,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,015 : 509,120 = 509,120 : x
  2. Step 2: Convert to fraction form
    241,015/509,120 = 509,120/x
  3. Step 3: Cross multiply
    241,015x = 509,120 × 509,120
  4. Step 4: Simplify right side
    241,015x = 259,203,174,400
  5. Step 5: Solve for x
    x = 259,203,174,400/241,015
  6. Step 6: Final answer
    x = 1,075,464.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.