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Finding the Third Proportional to 197,040 and 427,128

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Solution

The third proportional to 197,040 and 427,128 is: 925,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,040 : 427,128 = 427,128 : x
  2. Step 2: Convert to fraction form
    197,040/427,128 = 427,128/x
  3. Step 3: Cross multiply
    197,040x = 427,128 × 427,128
  4. Step 4: Simplify right side
    197,040x = 182,438,328,384
  5. Step 5: Solve for x
    x = 182,438,328,384/197,040
  6. Step 6: Final answer
    x = 925,894.89

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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.