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Finding the Third Proportional to 218,817 and 320,420

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Solution

The third proportional to 218,817 and 320,420 is: 469,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,817 : 320,420 = 320,420 : x
  2. Step 2: Convert to fraction form
    218,817/320,420 = 320,420/x
  3. Step 3: Cross multiply
    218,817x = 320,420 × 320,420
  4. Step 4: Simplify right side
    218,817x = 102,668,976,400
  5. Step 5: Solve for x
    x = 102,668,976,400/218,817
  6. Step 6: Final answer
    x = 469,200.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.