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Finding the Third Proportional to 427,178.25 and 909,571.50

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Solution

The third proportional to 427,178.25 and 909,571.50 is: 1,936,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,178.25 : 909,571.50 = 909,571.50 : x
  2. Step 2: Convert to fraction form
    427,178.25/909,571.50 = 909,571.50/x
  3. Step 3: Cross multiply
    427,178.25x = 909,571.50 × 909,571.50
  4. Step 4: Simplify right side
    427,178.25x = 827,320,313,612.25
  5. Step 5: Solve for x
    x = 827,320,313,612.25/427,178.25
  6. Step 6: Final answer
    x = 1,936,709.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.