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Finding the Third Proportional to 138,487 and 226,115

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Solution

The third proportional to 138,487 and 226,115 is: 369,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,487 : 226,115 = 226,115 : x
  2. Step 2: Convert to fraction form
    138,487/226,115 = 226,115/x
  3. Step 3: Cross multiply
    138,487x = 226,115 × 226,115
  4. Step 4: Simplify right side
    138,487x = 51,127,993,225
  5. Step 5: Solve for x
    x = 51,127,993,225/138,487
  6. Step 6: Final answer
    x = 369,189.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.