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Finding the Third Proportional to 216,880 and 333,775

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Solution

The third proportional to 216,880 and 333,775 is: 513,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880 : 333,775 = 333,775 : x
  2. Step 2: Convert to fraction form
    216,880/333,775 = 333,775/x
  3. Step 3: Cross multiply
    216,880x = 333,775 × 333,775
  4. Step 4: Simplify right side
    216,880x = 111,405,750,625
  5. Step 5: Solve for x
    x = 111,405,750,625/216,880
  6. Step 6: Final answer
    x = 513,674.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.