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Finding the Third Proportional to 138,135 and 301,254

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Solution

The third proportional to 138,135 and 301,254 is: 656,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,135 : 301,254 = 301,254 : x
  2. Step 2: Convert to fraction form
    138,135/301,254 = 301,254/x
  3. Step 3: Cross multiply
    138,135x = 301,254 × 301,254
  4. Step 4: Simplify right side
    138,135x = 90,753,972,516
  5. Step 5: Solve for x
    x = 90,753,972,516/138,135
  6. Step 6: Final answer
    x = 656,994.77

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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.