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Finding the Third Proportional to 138,568 and 296,090

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Solution

The third proportional to 138,568 and 296,090 is: 632,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,568 : 296,090 = 296,090 : x
  2. Step 2: Convert to fraction form
    138,568/296,090 = 296,090/x
  3. Step 3: Cross multiply
    138,568x = 296,090 × 296,090
  4. Step 4: Simplify right side
    138,568x = 87,669,288,100
  5. Step 5: Solve for x
    x = 87,669,288,100/138,568
  6. Step 6: Final answer
    x = 632,680.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.