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Finding the Third Proportional to 71,968 and 151,216

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Solution

The third proportional to 71,968 and 151,216 is: 317,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968 : 151,216 = 151,216 : x
  2. Step 2: Convert to fraction form
    71,968/151,216 = 151,216/x
  3. Step 3: Cross multiply
    71,968x = 151,216 × 151,216
  4. Step 4: Simplify right side
    71,968x = 22,866,278,656
  5. Step 5: Solve for x
    x = 22,866,278,656/71,968
  6. Step 6: Final answer
    x = 317,728.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.