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Finding the Third Proportional to 216,544 and 323,720

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Solution

The third proportional to 216,544 and 323,720 is: 483,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,544 : 323,720 = 323,720 : x
  2. Step 2: Convert to fraction form
    216,544/323,720 = 323,720/x
  3. Step 3: Cross multiply
    216,544x = 323,720 × 323,720
  4. Step 4: Simplify right side
    216,544x = 104,794,638,400
  5. Step 5: Solve for x
    x = 104,794,638,400/216,544
  6. Step 6: Final answer
    x = 483,941.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.