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Finding the Third Proportional to 427,152 and 939,571

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Solution

The third proportional to 427,152 and 939,571 is: 2,066,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,152 : 939,571 = 939,571 : x
  2. Step 2: Convert to fraction form
    427,152/939,571 = 939,571/x
  3. Step 3: Cross multiply
    427,152x = 939,571 × 939,571
  4. Step 4: Simplify right side
    427,152x = 882,793,664,041
  5. Step 5: Solve for x
    x = 882,793,664,041/427,152
  6. Step 6: Final answer
    x = 2,066,696.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.