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Finding the Third Proportional to 129,406 and 274,362

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Solution

The third proportional to 129,406 and 274,362 is: 581,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,406 : 274,362 = 274,362 : x
  2. Step 2: Convert to fraction form
    129,406/274,362 = 274,362/x
  3. Step 3: Cross multiply
    129,406x = 274,362 × 274,362
  4. Step 4: Simplify right side
    129,406x = 75,274,507,044
  5. Step 5: Solve for x
    x = 75,274,507,044/129,406
  6. Step 6: Final answer
    x = 581,692.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.