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Finding the Third Proportional to 202,419 and 435,977.02

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Solution

The third proportional to 202,419 and 435,977.02 is: 939,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419 : 435,977.02 = 435,977.02 : x
  2. Step 2: Convert to fraction form
    202,419/435,977.02 = 435,977.02/x
  3. Step 3: Cross multiply
    202,419x = 435,977.02 × 435,977.02
  4. Step 4: Simplify right side
    202,419x = 190,075,958,153.28
  5. Step 5: Solve for x
    x = 190,075,958,153.28/202,419
  6. Step 6: Final answer
    x = 939,022.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.