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Finding the Third Proportional to 138,996 and 302,859

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Solution

The third proportional to 138,996 and 302,859 is: 659,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996 : 302,859 = 302,859 : x
  2. Step 2: Convert to fraction form
    138,996/302,859 = 302,859/x
  3. Step 3: Cross multiply
    138,996x = 302,859 × 302,859
  4. Step 4: Simplify right side
    138,996x = 91,723,573,881
  5. Step 5: Solve for x
    x = 91,723,573,881/138,996
  6. Step 6: Final answer
    x = 659,900.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.