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Finding the Third Proportional to 439,220 and 642,075

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Solution

The third proportional to 439,220 and 642,075 is: 938,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,220 : 642,075 = 642,075 : x
  2. Step 2: Convert to fraction form
    439,220/642,075 = 642,075/x
  3. Step 3: Cross multiply
    439,220x = 642,075 × 642,075
  4. Step 4: Simplify right side
    439,220x = 412,260,305,625
  5. Step 5: Solve for x
    x = 412,260,305,625/439,220
  6. Step 6: Final answer
    x = 938,619.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.