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Finding the Third Proportional to 127,907 and 191,861

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Solution

The third proportional to 127,907 and 191,861 is: 287,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,907 : 191,861 = 191,861 : x
  2. Step 2: Convert to fraction form
    127,907/191,861 = 191,861/x
  3. Step 3: Cross multiply
    127,907x = 191,861 × 191,861
  4. Step 4: Simplify right side
    127,907x = 36,810,643,321
  5. Step 5: Solve for x
    x = 36,810,643,321/127,907
  6. Step 6: Final answer
    x = 287,792.25

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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.