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Finding the Third Proportional to 218,420 and 467,200

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Solution

The third proportional to 218,420 and 467,200 is: 999,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,420 : 467,200 = 467,200 : x
  2. Step 2: Convert to fraction form
    218,420/467,200 = 467,200/x
  3. Step 3: Cross multiply
    218,420x = 467,200 × 467,200
  4. Step 4: Simplify right side
    218,420x = 218,275,840,000
  5. Step 5: Solve for x
    x = 218,275,840,000/218,420
  6. Step 6: Final answer
    x = 999,339.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.