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Finding the Third Proportional to 120,075 and 258,768

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Solution

The third proportional to 120,075 and 258,768 is: 557,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,075 : 258,768 = 258,768 : x
  2. Step 2: Convert to fraction form
    120,075/258,768 = 258,768/x
  3. Step 3: Cross multiply
    120,075x = 258,768 × 258,768
  4. Step 4: Simplify right side
    120,075x = 66,960,877,824
  5. Step 5: Solve for x
    x = 66,960,877,824/120,075
  6. Step 6: Final answer
    x = 557,658.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.