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Finding the Third Proportional to 127,476 and 193,212

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Solution

The third proportional to 127,476 and 193,212 is: 292,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,476 : 193,212 = 193,212 : x
  2. Step 2: Convert to fraction form
    127,476/193,212 = 193,212/x
  3. Step 3: Cross multiply
    127,476x = 193,212 × 193,212
  4. Step 4: Simplify right side
    127,476x = 37,330,876,944
  5. Step 5: Solve for x
    x = 37,330,876,944/127,476
  6. Step 6: Final answer
    x = 292,846.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.