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Finding the Third Proportional to 138,087 and 295,839

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Solution

The third proportional to 138,087 and 295,839 is: 633,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,087 : 295,839 = 295,839 : x
  2. Step 2: Convert to fraction form
    138,087/295,839 = 295,839/x
  3. Step 3: Cross multiply
    138,087x = 295,839 × 295,839
  4. Step 4: Simplify right side
    138,087x = 87,520,713,921
  5. Step 5: Solve for x
    x = 87,520,713,921/138,087
  6. Step 6: Final answer
    x = 633,808.50

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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.