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Finding the Third Proportional to 416,900 and 909,075

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Solution

The third proportional to 416,900 and 909,075 is: 1,982,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,900 : 909,075 = 909,075 : x
  2. Step 2: Convert to fraction form
    416,900/909,075 = 909,075/x
  3. Step 3: Cross multiply
    416,900x = 909,075 × 909,075
  4. Step 4: Simplify right side
    416,900x = 826,417,355,625
  5. Step 5: Solve for x
    x = 826,417,355,625/416,900
  6. Step 6: Final answer
    x = 1,982,291.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.