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Finding the Third Proportional to 128,412 and 197,478

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Solution

The third proportional to 128,412 and 197,478 is: 303,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412 : 197,478 = 197,478 : x
  2. Step 2: Convert to fraction form
    128,412/197,478 = 197,478/x
  3. Step 3: Cross multiply
    128,412x = 197,478 × 197,478
  4. Step 4: Simplify right side
    128,412x = 38,997,560,484
  5. Step 5: Solve for x
    x = 38,997,560,484/128,412
  6. Step 6: Final answer
    x = 303,690.94

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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.