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Finding the Third Proportional to 128,721 and 196,911

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Solution

The third proportional to 128,721 and 196,911 is: 301,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,721 : 196,911 = 196,911 : x
  2. Step 2: Convert to fraction form
    128,721/196,911 = 196,911/x
  3. Step 3: Cross multiply
    128,721x = 196,911 × 196,911
  4. Step 4: Simplify right side
    128,721x = 38,773,941,921
  5. Step 5: Solve for x
    x = 38,773,941,921/128,721
  6. Step 6: Final answer
    x = 301,224.68

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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.