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Finding the Third Proportional to 201,801.38 and 428,201.44

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Solution

The third proportional to 201,801.38 and 428,201.44 is: 908,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.38 : 428,201.44 = 428,201.44 : x
  2. Step 2: Convert to fraction form
    201,801.38/428,201.44 = 428,201.44/x
  3. Step 3: Cross multiply
    201,801.38x = 428,201.44 × 428,201.44
  4. Step 4: Simplify right side
    201,801.38x = 183,356,471,077.07
  5. Step 5: Solve for x
    x = 183,356,471,077.07/201,801.38
  6. Step 6: Final answer
    x = 908,598.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.