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Finding the Third Proportional to 121,189 and 258,871

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Solution

The third proportional to 121,189 and 258,871 is: 552,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,189 : 258,871 = 258,871 : x
  2. Step 2: Convert to fraction form
    121,189/258,871 = 258,871/x
  3. Step 3: Cross multiply
    121,189x = 258,871 × 258,871
  4. Step 4: Simplify right side
    121,189x = 67,014,194,641
  5. Step 5: Solve for x
    x = 67,014,194,641/121,189
  6. Step 6: Final answer
    x = 552,972.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.