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Finding the Third Proportional to 128,808 and 197,054

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Solution

The third proportional to 128,808 and 197,054 is: 301,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,808 : 197,054 = 197,054 : x
  2. Step 2: Convert to fraction form
    128,808/197,054 = 197,054/x
  3. Step 3: Cross multiply
    128,808x = 197,054 × 197,054
  4. Step 4: Simplify right side
    128,808x = 38,830,278,916
  5. Step 5: Solve for x
    x = 38,830,278,916/128,808
  6. Step 6: Final answer
    x = 301,458.60

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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.