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Finding the Third Proportional to 138,516 and 298,903

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Solution

The third proportional to 138,516 and 298,903 is: 645,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,516 : 298,903 = 298,903 : x
  2. Step 2: Convert to fraction form
    138,516/298,903 = 298,903/x
  3. Step 3: Cross multiply
    138,516x = 298,903 × 298,903
  4. Step 4: Simplify right side
    138,516x = 89,343,003,409
  5. Step 5: Solve for x
    x = 89,343,003,409/138,516
  6. Step 6: Final answer
    x = 645,001.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.