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Finding the Third Proportional to 128,462 and 197,703

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Solution

The third proportional to 128,462 and 197,703 is: 304,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,462 : 197,703 = 197,703 : x
  2. Step 2: Convert to fraction form
    128,462/197,703 = 197,703/x
  3. Step 3: Cross multiply
    128,462x = 197,703 × 197,703
  4. Step 4: Simplify right side
    128,462x = 39,086,476,209
  5. Step 5: Solve for x
    x = 39,086,476,209/128,462
  6. Step 6: Final answer
    x = 304,264.89

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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.