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Finding the Third Proportional to 439,224 and 642,081

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Solution

The third proportional to 439,224 and 642,081 is: 938,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,224 : 642,081 = 642,081 : x
  2. Step 2: Convert to fraction form
    439,224/642,081 = 642,081/x
  3. Step 3: Cross multiply
    439,224x = 642,081 × 642,081
  4. Step 4: Simplify right side
    439,224x = 412,268,010,561
  5. Step 5: Solve for x
    x = 412,268,010,561/439,224
  6. Step 6: Final answer
    x = 938,628.15

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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.