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Finding the Third Proportional to 214,518 and 321,363

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Solution

The third proportional to 214,518 and 321,363 is: 481,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,518 : 321,363 = 321,363 : x
  2. Step 2: Convert to fraction form
    214,518/321,363 = 321,363/x
  3. Step 3: Cross multiply
    214,518x = 321,363 × 321,363
  4. Step 4: Simplify right side
    214,518x = 103,274,177,769
  5. Step 5: Solve for x
    x = 103,274,177,769/214,518
  6. Step 6: Final answer
    x = 481,424.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.