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Finding the Third Proportional to 127,380 and 191,391

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Solution

The third proportional to 127,380 and 191,391 is: 287,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,380 : 191,391 = 191,391 : x
  2. Step 2: Convert to fraction form
    127,380/191,391 = 191,391/x
  3. Step 3: Cross multiply
    127,380x = 191,391 × 191,391
  4. Step 4: Simplify right side
    127,380x = 36,630,514,881
  5. Step 5: Solve for x
    x = 36,630,514,881/127,380
  6. Step 6: Final answer
    x = 287,568.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.