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Finding the Third Proportional to 138,963 and 303,350

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Solution

The third proportional to 138,963 and 303,350 is: 662,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963 : 303,350 = 303,350 : x
  2. Step 2: Convert to fraction form
    138,963/303,350 = 303,350/x
  3. Step 3: Cross multiply
    138,963x = 303,350 × 303,350
  4. Step 4: Simplify right side
    138,963x = 92,021,222,500
  5. Step 5: Solve for x
    x = 92,021,222,500/138,963
  6. Step 6: Final answer
    x = 662,199.45

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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.