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Finding the Third Proportional to 71,056 and 152,480

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Solution

The third proportional to 71,056 and 152,480 is: 327,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,056 : 152,480 = 152,480 : x
  2. Step 2: Convert to fraction form
    71,056/152,480 = 152,480/x
  3. Step 3: Cross multiply
    71,056x = 152,480 × 152,480
  4. Step 4: Simplify right side
    71,056x = 23,250,150,400
  5. Step 5: Solve for x
    x = 23,250,150,400/71,056
  6. Step 6: Final answer
    x = 327,208.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.