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Finding the Third Proportional to 251,865 and 380,226

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Solution

The third proportional to 251,865 and 380,226 is: 574,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,865 : 380,226 = 380,226 : x
  2. Step 2: Convert to fraction form
    251,865/380,226 = 380,226/x
  3. Step 3: Cross multiply
    251,865x = 380,226 × 380,226
  4. Step 4: Simplify right side
    251,865x = 144,571,811,076
  5. Step 5: Solve for x
    x = 144,571,811,076/251,865
  6. Step 6: Final answer
    x = 574,005.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.