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Finding the Third Proportional to 431,102.25 and 661,719.38

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Solution

The third proportional to 431,102.25 and 661,719.38 is: 1,015,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,102.25 : 661,719.38 = 661,719.38 : x
  2. Step 2: Convert to fraction form
    431,102.25/661,719.38 = 661,719.38/x
  3. Step 3: Cross multiply
    431,102.25x = 661,719.38 × 661,719.38
  4. Step 4: Simplify right side
    431,102.25x = 437,872,531,250.39
  5. Step 5: Solve for x
    x = 437,872,531,250.39/431,102.25
  6. Step 6: Final answer
    x = 1,015,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.