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Finding the Third Proportional to 128,472 and 197,718

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Solution

The third proportional to 128,472 and 197,718 is: 304,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,472 : 197,718 = 197,718 : x
  2. Step 2: Convert to fraction form
    128,472/197,718 = 197,718/x
  3. Step 3: Cross multiply
    128,472x = 197,718 × 197,718
  4. Step 4: Simplify right side
    128,472x = 39,092,407,524
  5. Step 5: Solve for x
    x = 39,092,407,524/128,472
  6. Step 6: Final answer
    x = 304,287.37

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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.