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Finding the Third Proportional to 133,075 and 291,914

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Solution

The third proportional to 133,075 and 291,914 is: 640,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 291,914 = 291,914 : x
  2. Step 2: Convert to fraction form
    133,075/291,914 = 291,914/x
  3. Step 3: Cross multiply
    133,075x = 291,914 × 291,914
  4. Step 4: Simplify right side
    133,075x = 85,213,783,396
  5. Step 5: Solve for x
    x = 85,213,783,396/133,075
  6. Step 6: Final answer
    x = 640,344.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.