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Finding the Third Proportional to 120,082 and 258,720

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Solution

The third proportional to 120,082 and 258,720 is: 557,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082 : 258,720 = 258,720 : x
  2. Step 2: Convert to fraction form
    120,082/258,720 = 258,720/x
  3. Step 3: Cross multiply
    120,082x = 258,720 × 258,720
  4. Step 4: Simplify right side
    120,082x = 66,936,038,400
  5. Step 5: Solve for x
    x = 66,936,038,400/120,082
  6. Step 6: Final answer
    x = 557,419.42

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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.