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Finding the Third Proportional to 216,780 and 289,960

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Solution

The third proportional to 216,780 and 289,960 is: 387,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,780 : 289,960 = 289,960 : x
  2. Step 2: Convert to fraction form
    216,780/289,960 = 289,960/x
  3. Step 3: Cross multiply
    216,780x = 289,960 × 289,960
  4. Step 4: Simplify right side
    216,780x = 84,076,801,600
  5. Step 5: Solve for x
    x = 84,076,801,600/216,780
  6. Step 6: Final answer
    x = 387,843.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.