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Finding the Third Proportional to 201,075.75 and 418,690.13

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Solution

The third proportional to 201,075.75 and 418,690.13 is: 871,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,075.75 : 418,690.13 = 418,690.13 : x
  2. Step 2: Convert to fraction form
    201,075.75/418,690.13 = 418,690.13/x
  3. Step 3: Cross multiply
    201,075.75x = 418,690.13 × 418,690.13
  4. Step 4: Simplify right side
    201,075.75x = 175,301,420,772.52
  5. Step 5: Solve for x
    x = 175,301,420,772.52/201,075.75
  6. Step 6: Final answer
    x = 871,817.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.