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Finding the Third Proportional to 120,906 and 251,623

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Solution

The third proportional to 120,906 and 251,623 is: 523,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906 : 251,623 = 251,623 : x
  2. Step 2: Convert to fraction form
    120,906/251,623 = 251,623/x
  3. Step 3: Cross multiply
    120,906x = 251,623 × 251,623
  4. Step 4: Simplify right side
    120,906x = 63,314,134,129
  5. Step 5: Solve for x
    x = 63,314,134,129/120,906
  6. Step 6: Final answer
    x = 523,664.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.