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Finding the Third Proportional to 120,273 and 258,314

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Solution

The third proportional to 120,273 and 258,314 is: 554,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273 : 258,314 = 258,314 : x
  2. Step 2: Convert to fraction form
    120,273/258,314 = 258,314/x
  3. Step 3: Cross multiply
    120,273x = 258,314 × 258,314
  4. Step 4: Simplify right side
    120,273x = 66,726,122,596
  5. Step 5: Solve for x
    x = 66,726,122,596/120,273
  6. Step 6: Final answer
    x = 554,788.88

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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.