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Finding the Third Proportional to 138,966 and 299,964

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Solution

The third proportional to 138,966 and 299,964 is: 647,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966 : 299,964 = 299,964 : x
  2. Step 2: Convert to fraction form
    138,966/299,964 = 299,964/x
  3. Step 3: Cross multiply
    138,966x = 299,964 × 299,964
  4. Step 4: Simplify right side
    138,966x = 89,978,401,296
  5. Step 5: Solve for x
    x = 89,978,401,296/138,966
  6. Step 6: Final answer
    x = 647,485.01

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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.