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Finding the Third Proportional to 128,808 and 197,049

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Solution

The third proportional to 128,808 and 197,049 is: 301,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,808 : 197,049 = 197,049 : x
  2. Step 2: Convert to fraction form
    128,808/197,049 = 197,049/x
  3. Step 3: Cross multiply
    128,808x = 197,049 × 197,049
  4. Step 4: Simplify right side
    128,808x = 38,828,308,401
  5. Step 5: Solve for x
    x = 38,828,308,401/128,808
  6. Step 6: Final answer
    x = 301,443.30

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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.