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Finding the Third Proportional to 120,210.75 and 259,692.75

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Solution

The third proportional to 120,210.75 and 259,692.75 is: 561,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210.75 : 259,692.75 = 259,692.75 : x
  2. Step 2: Convert to fraction form
    120,210.75/259,692.75 = 259,692.75/x
  3. Step 3: Cross multiply
    120,210.75x = 259,692.75 × 259,692.75
  4. Step 4: Simplify right side
    120,210.75x = 67,440,324,402.56
  5. Step 5: Solve for x
    x = 67,440,324,402.56/120,210.75
  6. Step 6: Final answer
    x = 561,017.42

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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.