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Finding the Third Proportional to 127,208 and 197,816

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Solution

The third proportional to 127,208 and 197,816 is: 307,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,208 : 197,816 = 197,816 : x
  2. Step 2: Convert to fraction form
    127,208/197,816 = 197,816/x
  3. Step 3: Cross multiply
    127,208x = 197,816 × 197,816
  4. Step 4: Simplify right side
    127,208x = 39,131,169,856
  5. Step 5: Solve for x
    x = 39,131,169,856/127,208
  6. Step 6: Final answer
    x = 307,615.64

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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.