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Finding the Third Proportional to 200,075 and 433,366

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Solution

The third proportional to 200,075 and 433,366 is: 938,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075 : 433,366 = 433,366 : x
  2. Step 2: Convert to fraction form
    200,075/433,366 = 433,366/x
  3. Step 3: Cross multiply
    200,075x = 433,366 × 433,366
  4. Step 4: Simplify right side
    200,075x = 187,806,089,956
  5. Step 5: Solve for x
    x = 187,806,089,956/200,075
  6. Step 6: Final answer
    x = 938,678.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.