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Finding the Third Proportional to 128,550 and 197,721

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Solution

The third proportional to 128,550 and 197,721 is: 304,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,550 : 197,721 = 197,721 : x
  2. Step 2: Convert to fraction form
    128,550/197,721 = 197,721/x
  3. Step 3: Cross multiply
    128,550x = 197,721 × 197,721
  4. Step 4: Simplify right side
    128,550x = 39,093,593,841
  5. Step 5: Solve for x
    x = 39,093,593,841/128,550
  6. Step 6: Final answer
    x = 304,111.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.