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Finding the Third Proportional to 216,780 and 333,625

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Solution

The third proportional to 216,780 and 333,625 is: 513,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,780 : 333,625 = 333,625 : x
  2. Step 2: Convert to fraction form
    216,780/333,625 = 333,625/x
  3. Step 3: Cross multiply
    216,780x = 333,625 × 333,625
  4. Step 4: Simplify right side
    216,780x = 111,305,640,625
  5. Step 5: Solve for x
    x = 111,305,640,625/216,780
  6. Step 6: Final answer
    x = 513,449.77

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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.