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Finding the Third Proportional to 71,157 and 152,867

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Solution

The third proportional to 71,157 and 152,867 is: 328,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157 : 152,867 = 152,867 : x
  2. Step 2: Convert to fraction form
    71,157/152,867 = 152,867/x
  3. Step 3: Cross multiply
    71,157x = 152,867 × 152,867
  4. Step 4: Simplify right side
    71,157x = 23,368,319,689
  5. Step 5: Solve for x
    x = 23,368,319,689/71,157
  6. Step 6: Final answer
    x = 328,405.07

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Why These Related Problems?

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