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Finding the Third Proportional to 171,994 and 258,999

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Solution

The third proportional to 171,994 and 258,999 is: 390,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,994 : 258,999 = 258,999 : x
  2. Step 2: Convert to fraction form
    171,994/258,999 = 258,999/x
  3. Step 3: Cross multiply
    171,994x = 258,999 × 258,999
  4. Step 4: Simplify right side
    171,994x = 67,080,482,001
  5. Step 5: Solve for x
    x = 67,080,482,001/171,994
  6. Step 6: Final answer
    x = 390,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.