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Finding the Third Proportional to 72,414 and 158,220

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Solution

The third proportional to 72,414 and 158,220 is: 345,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414 : 158,220 = 158,220 : x
  2. Step 2: Convert to fraction form
    72,414/158,220 = 158,220/x
  3. Step 3: Cross multiply
    72,414x = 158,220 × 158,220
  4. Step 4: Simplify right side
    72,414x = 25,033,568,400
  5. Step 5: Solve for x
    x = 25,033,568,400/72,414
  6. Step 6: Final answer
    x = 345,700.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.