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Finding the Third Proportional to 221,605 and 364,075

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Solution

The third proportional to 221,605 and 364,075 is: 598,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,605 : 364,075 = 364,075 : x
  2. Step 2: Convert to fraction form
    221,605/364,075 = 364,075/x
  3. Step 3: Cross multiply
    221,605x = 364,075 × 364,075
  4. Step 4: Simplify right side
    221,605x = 132,550,605,625
  5. Step 5: Solve for x
    x = 132,550,605,625/221,605
  6. Step 6: Final answer
    x = 598,139.06

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.