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Finding the Third Proportional to 218,582 and 328,075

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Solution

The third proportional to 218,582 and 328,075 is: 492,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,582 : 328,075 = 328,075 : x
  2. Step 2: Convert to fraction form
    218,582/328,075 = 328,075/x
  3. Step 3: Cross multiply
    218,582x = 328,075 × 328,075
  4. Step 4: Simplify right side
    218,582x = 107,633,205,625
  5. Step 5: Solve for x
    x = 107,633,205,625/218,582
  6. Step 6: Final answer
    x = 492,415.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.