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Finding the Third Proportional to 138,961 and 303,346

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Solution

The third proportional to 138,961 and 303,346 is: 662,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,961 : 303,346 = 303,346 : x
  2. Step 2: Convert to fraction form
    138,961/303,346 = 303,346/x
  3. Step 3: Cross multiply
    138,961x = 303,346 × 303,346
  4. Step 4: Simplify right side
    138,961x = 92,018,795,716
  5. Step 5: Solve for x
    x = 92,018,795,716/138,961
  6. Step 6: Final answer
    x = 662,191.52

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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.