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Finding the Third Proportional to 127,420 and 191,444

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Solution

The third proportional to 127,420 and 191,444 is: 287,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,420 : 191,444 = 191,444 : x
  2. Step 2: Convert to fraction form
    127,420/191,444 = 191,444/x
  3. Step 3: Cross multiply
    127,420x = 191,444 × 191,444
  4. Step 4: Simplify right side
    127,420x = 36,650,805,136
  5. Step 5: Solve for x
    x = 36,650,805,136/127,420
  6. Step 6: Final answer
    x = 287,637.77

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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.