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Finding the Third Proportional to 211,068 and 449,815.50

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Solution

The third proportional to 211,068 and 449,815.50 is: 958,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,068 : 449,815.50 = 449,815.50 : x
  2. Step 2: Convert to fraction form
    211,068/449,815.50 = 449,815.50/x
  3. Step 3: Cross multiply
    211,068x = 449,815.50 × 449,815.50
  4. Step 4: Simplify right side
    211,068x = 202,333,984,040.25
  5. Step 5: Solve for x
    x = 202,333,984,040.25/211,068
  6. Step 6: Final answer
    x = 958,619.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.