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Finding the Third Proportional to 197,557.31 and 426,704.63

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Solution

The third proportional to 197,557.31 and 426,704.63 is: 921,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,557.31 : 426,704.63 = 426,704.63 : x
  2. Step 2: Convert to fraction form
    197,557.31/426,704.63 = 426,704.63/x
  3. Step 3: Cross multiply
    197,557.31x = 426,704.63 × 426,704.63
  4. Step 4: Simplify right side
    197,557.31x = 182,076,836,996.39
  5. Step 5: Solve for x
    x = 182,076,836,996.39/197,557.31
  6. Step 6: Final answer
    x = 921,640.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.