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Finding the Third Proportional to 120,018 and 258,504

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Solution

The third proportional to 120,018 and 258,504 is: 556,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,018 : 258,504 = 258,504 : x
  2. Step 2: Convert to fraction form
    120,018/258,504 = 258,504/x
  3. Step 3: Cross multiply
    120,018x = 258,504 × 258,504
  4. Step 4: Simplify right side
    120,018x = 66,824,318,016
  5. Step 5: Solve for x
    x = 66,824,318,016/120,018
  6. Step 6: Final answer
    x = 556,785.80

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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.