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Finding the Third Proportional to 251,854 and 380,206

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Solution

The third proportional to 251,854 and 380,206 is: 573,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,854 : 380,206 = 380,206 : x
  2. Step 2: Convert to fraction form
    251,854/380,206 = 380,206/x
  3. Step 3: Cross multiply
    251,854x = 380,206 × 380,206
  4. Step 4: Simplify right side
    251,854x = 144,556,602,436
  5. Step 5: Solve for x
    x = 144,556,602,436/251,854
  6. Step 6: Final answer
    x = 573,969.85

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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.