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Finding the Third Proportional to 128,464 and 197,692

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Solution

The third proportional to 128,464 and 197,692 is: 304,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,464 : 197,692 = 197,692 : x
  2. Step 2: Convert to fraction form
    128,464/197,692 = 197,692/x
  3. Step 3: Cross multiply
    128,464x = 197,692 × 197,692
  4. Step 4: Simplify right side
    128,464x = 39,082,126,864
  5. Step 5: Solve for x
    x = 39,082,126,864/128,464
  6. Step 6: Final answer
    x = 304,226.30

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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.