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Finding the Third Proportional to 251,856 and 380,209

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Solution

The third proportional to 251,856 and 380,209 is: 573,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,856 : 380,209 = 380,209 : x
  2. Step 2: Convert to fraction form
    251,856/380,209 = 380,209/x
  3. Step 3: Cross multiply
    251,856x = 380,209 × 380,209
  4. Step 4: Simplify right side
    251,856x = 144,558,883,681
  5. Step 5: Solve for x
    x = 144,558,883,681/251,856
  6. Step 6: Final answer
    x = 573,974.35

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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.