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Finding the Third Proportional to 248,910 and 395,508

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Solution

The third proportional to 248,910 and 395,508 is: 628,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,910 : 395,508 = 395,508 : x
  2. Step 2: Convert to fraction form
    248,910/395,508 = 395,508/x
  3. Step 3: Cross multiply
    248,910x = 395,508 × 395,508
  4. Step 4: Simplify right side
    248,910x = 156,426,578,064
  5. Step 5: Solve for x
    x = 156,426,578,064/248,910
  6. Step 6: Final answer
    x = 628,446.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.