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Finding the Third Proportional to 71,824 and 155,120

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Solution

The third proportional to 71,824 and 155,120 is: 335,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824 : 155,120 = 155,120 : x
  2. Step 2: Convert to fraction form
    71,824/155,120 = 155,120/x
  3. Step 3: Cross multiply
    71,824x = 155,120 × 155,120
  4. Step 4: Simplify right side
    71,824x = 24,062,214,400
  5. Step 5: Solve for x
    x = 24,062,214,400/71,824
  6. Step 6: Final answer
    x = 335,016.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.