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Finding the Third Proportional to 138,729 and 303,141

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Solution

The third proportional to 138,729 and 303,141 is: 662,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,729 : 303,141 = 303,141 : x
  2. Step 2: Convert to fraction form
    138,729/303,141 = 303,141/x
  3. Step 3: Cross multiply
    138,729x = 303,141 × 303,141
  4. Step 4: Simplify right side
    138,729x = 91,894,465,881
  5. Step 5: Solve for x
    x = 91,894,465,881/138,729
  6. Step 6: Final answer
    x = 662,402.71

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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.