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Finding the Third Proportional to 138,208 and 286,256

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Solution

The third proportional to 138,208 and 286,256 is: 592,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,208 : 286,256 = 286,256 : x
  2. Step 2: Convert to fraction form
    138,208/286,256 = 286,256/x
  3. Step 3: Cross multiply
    138,208x = 286,256 × 286,256
  4. Step 4: Simplify right side
    138,208x = 81,942,497,536
  5. Step 5: Solve for x
    x = 81,942,497,536/138,208
  6. Step 6: Final answer
    x = 592,892.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.