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Finding the Third Proportional to 128,846 and 197,112

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Solution

The third proportional to 128,846 and 197,112 is: 301,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846 : 197,112 = 197,112 : x
  2. Step 2: Convert to fraction form
    128,846/197,112 = 197,112/x
  3. Step 3: Cross multiply
    128,846x = 197,112 × 197,112
  4. Step 4: Simplify right side
    128,846x = 38,853,140,544
  5. Step 5: Solve for x
    x = 38,853,140,544/128,846
  6. Step 6: Final answer
    x = 301,547.12

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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.