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Finding the Third Proportional to 138,969 and 303,361

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Solution

The third proportional to 138,969 and 303,361 is: 662,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969 : 303,361 = 303,361 : x
  2. Step 2: Convert to fraction form
    138,969/303,361 = 303,361/x
  3. Step 3: Cross multiply
    138,969x = 303,361 × 303,361
  4. Step 4: Simplify right side
    138,969x = 92,027,896,321
  5. Step 5: Solve for x
    x = 92,027,896,321/138,969
  6. Step 6: Final answer
    x = 662,218.89

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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.