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Finding the Third Proportional to 138,520 and 303,315

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Solution

The third proportional to 138,520 and 303,315 is: 664,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520 : 303,315 = 303,315 : x
  2. Step 2: Convert to fraction form
    138,520/303,315 = 303,315/x
  3. Step 3: Cross multiply
    138,520x = 303,315 × 303,315
  4. Step 4: Simplify right side
    138,520x = 91,999,989,225
  5. Step 5: Solve for x
    x = 91,999,989,225/138,520
  6. Step 6: Final answer
    x = 664,163.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.