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Finding the Third Proportional to 275,821.50 and 421,759.50

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Solution

The third proportional to 275,821.50 and 421,759.50 is: 644,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,821.50 : 421,759.50 = 421,759.50 : x
  2. Step 2: Convert to fraction form
    275,821.50/421,759.50 = 421,759.50/x
  3. Step 3: Cross multiply
    275,821.50x = 421,759.50 × 421,759.50
  4. Step 4: Simplify right side
    275,821.50x = 177,881,075,840.25
  5. Step 5: Solve for x
    x = 177,881,075,840.25/275,821.50
  6. Step 6: Final answer
    x = 644,913.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.