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Finding the Third Proportional to 120,025 and 258,639.25

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Solution

The third proportional to 120,025 and 258,639.25 is: 557,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025 : 258,639.25 = 258,639.25 : x
  2. Step 2: Convert to fraction form
    120,025/258,639.25 = 258,639.25/x
  3. Step 3: Cross multiply
    120,025x = 258,639.25 × 258,639.25
  4. Step 4: Simplify right side
    120,025x = 66,894,261,640.56
  5. Step 5: Solve for x
    x = 66,894,261,640.56/120,025
  6. Step 6: Final answer
    x = 557,336.07

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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.