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Finding the Third Proportional to 127,211 and 197,820

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Solution

The third proportional to 127,211 and 197,820 is: 307,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,211 : 197,820 = 197,820 : x
  2. Step 2: Convert to fraction form
    127,211/197,820 = 197,820/x
  3. Step 3: Cross multiply
    127,211x = 197,820 × 197,820
  4. Step 4: Simplify right side
    127,211x = 39,132,752,400
  5. Step 5: Solve for x
    x = 39,132,752,400/127,211
  6. Step 6: Final answer
    x = 307,620.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.