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Finding the Third Proportional to 216,756 and 287,685

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Solution

The third proportional to 216,756 and 287,685 is: 381,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,756 : 287,685 = 287,685 : x
  2. Step 2: Convert to fraction form
    216,756/287,685 = 287,685/x
  3. Step 3: Cross multiply
    216,756x = 287,685 × 287,685
  4. Step 4: Simplify right side
    216,756x = 82,762,659,225
  5. Step 5: Solve for x
    x = 82,762,659,225/216,756
  6. Step 6: Final answer
    x = 381,824.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.