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Finding the Third Proportional to 98,535 and 204,075

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Solution

The third proportional to 98,535 and 204,075 is: 422,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535 : 204,075 = 204,075 : x
  2. Step 2: Convert to fraction form
    98,535/204,075 = 204,075/x
  3. Step 3: Cross multiply
    98,535x = 204,075 × 204,075
  4. Step 4: Simplify right side
    98,535x = 41,646,605,625
  5. Step 5: Solve for x
    x = 41,646,605,625/98,535
  6. Step 6: Final answer
    x = 422,658.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.