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Finding the Third Proportional to 216,715.50 and 287,558.44

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Solution

The third proportional to 216,715.50 and 287,558.44 is: 381,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,715.50 : 287,558.44 = 287,558.44 : x
  2. Step 2: Convert to fraction form
    216,715.50/287,558.44 = 287,558.44/x
  3. Step 3: Cross multiply
    216,715.50x = 287,558.44 × 287,558.44
  4. Step 4: Simplify right side
    216,715.50x = 82,689,854,977.44
  5. Step 5: Solve for x
    x = 82,689,854,977.44/216,715.50
  6. Step 6: Final answer
    x = 381,559.49

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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.