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Finding the Third Proportional to 128,688 and 196,859

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Solution

The third proportional to 128,688 and 196,859 is: 301,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,688 : 196,859 = 196,859 : x
  2. Step 2: Convert to fraction form
    128,688/196,859 = 196,859/x
  3. Step 3: Cross multiply
    128,688x = 196,859 × 196,859
  4. Step 4: Simplify right side
    128,688x = 38,753,465,881
  5. Step 5: Solve for x
    x = 38,753,465,881/128,688
  6. Step 6: Final answer
    x = 301,142.81

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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.