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Finding the Third Proportional to 120,066 and 258,750

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Solution

The third proportional to 120,066 and 258,750 is: 557,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,066 : 258,750 = 258,750 : x
  2. Step 2: Convert to fraction form
    120,066/258,750 = 258,750/x
  3. Step 3: Cross multiply
    120,066x = 258,750 × 258,750
  4. Step 4: Simplify right side
    120,066x = 66,951,562,500
  5. Step 5: Solve for x
    x = 66,951,562,500/120,066
  6. Step 6: Final answer
    x = 557,622.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.