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Finding the Third Proportional to 216,511 and 311,876.50

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Solution

The third proportional to 216,511 and 311,876.50 is: 449,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,511 : 311,876.50 = 311,876.50 : x
  2. Step 2: Convert to fraction form
    216,511/311,876.50 = 311,876.50/x
  3. Step 3: Cross multiply
    216,511x = 311,876.50 × 311,876.50
  4. Step 4: Simplify right side
    216,511x = 97,266,951,252.25
  5. Step 5: Solve for x
    x = 97,266,951,252.25/216,511
  6. Step 6: Final answer
    x = 449,247.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.