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Finding the Third Proportional to 251,634 and 386,211

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Solution

The third proportional to 251,634 and 386,211 is: 592,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,634 : 386,211 = 386,211 : x
  2. Step 2: Convert to fraction form
    251,634/386,211 = 386,211/x
  3. Step 3: Cross multiply
    251,634x = 386,211 × 386,211
  4. Step 4: Simplify right side
    251,634x = 149,158,936,521
  5. Step 5: Solve for x
    x = 149,158,936,521/251,634
  6. Step 6: Final answer
    x = 592,761.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.