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Finding the Third Proportional to 127,698 and 202,107

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Solution

The third proportional to 127,698 and 202,107 is: 319,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,698 : 202,107 = 202,107 : x
  2. Step 2: Convert to fraction form
    127,698/202,107 = 202,107/x
  3. Step 3: Cross multiply
    127,698x = 202,107 × 202,107
  4. Step 4: Simplify right side
    127,698x = 40,847,239,449
  5. Step 5: Solve for x
    x = 40,847,239,449/127,698
  6. Step 6: Final answer
    x = 319,873.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.