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Finding the Third Proportional to 72,716 and 154,220

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Solution

The third proportional to 72,716 and 154,220 is: 327,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716 : 154,220 = 154,220 : x
  2. Step 2: Convert to fraction form
    72,716/154,220 = 154,220/x
  3. Step 3: Cross multiply
    72,716x = 154,220 × 154,220
  4. Step 4: Simplify right side
    72,716x = 23,783,808,400
  5. Step 5: Solve for x
    x = 23,783,808,400/72,716
  6. Step 6: Final answer
    x = 327,078.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.