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Finding the Third Proportional to 72,415 and 151,450

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Solution

The third proportional to 72,415 and 151,450 is: 316,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415 : 151,450 = 151,450 : x
  2. Step 2: Convert to fraction form
    72,415/151,450 = 151,450/x
  3. Step 3: Cross multiply
    72,415x = 151,450 × 151,450
  4. Step 4: Simplify right side
    72,415x = 22,937,102,500
  5. Step 5: Solve for x
    x = 22,937,102,500/72,415
  6. Step 6: Final answer
    x = 316,745.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.