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Finding the Third Proportional to 251,910 and 380,295

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Solution

The third proportional to 251,910 and 380,295 is: 574,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,910 : 380,295 = 380,295 : x
  2. Step 2: Convert to fraction form
    251,910/380,295 = 380,295/x
  3. Step 3: Cross multiply
    251,910x = 380,295 × 380,295
  4. Step 4: Simplify right side
    251,910x = 144,624,287,025
  5. Step 5: Solve for x
    x = 144,624,287,025/251,910
  6. Step 6: Final answer
    x = 574,110.94

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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.