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Finding the Third Proportional to 410,179.50 and 620,936.25

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Solution

The third proportional to 410,179.50 and 620,936.25 is: 939,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,179.50 : 620,936.25 = 620,936.25 : x
  2. Step 2: Convert to fraction form
    410,179.50/620,936.25 = 620,936.25/x
  3. Step 3: Cross multiply
    410,179.50x = 620,936.25 × 620,936.25
  4. Step 4: Simplify right side
    410,179.50x = 385,561,826,564.06
  5. Step 5: Solve for x
    x = 385,561,826,564.06/410,179.50
  6. Step 6: Final answer
    x = 939,983.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.