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Finding the Third Proportional to 212,856 and 320,850

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Solution

The third proportional to 212,856 and 320,850 is: 483,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856 : 320,850 = 320,850 : x
  2. Step 2: Convert to fraction form
    212,856/320,850 = 320,850/x
  3. Step 3: Cross multiply
    212,856x = 320,850 × 320,850
  4. Step 4: Simplify right side
    212,856x = 102,944,722,500
  5. Step 5: Solve for x
    x = 102,944,722,500/212,856
  6. Step 6: Final answer
    x = 483,635.52

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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.