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Finding the Third Proportional to 208,115 and 442,150

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Solution

The third proportional to 208,115 and 442,150 is: 939,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115 : 442,150 = 442,150 : x
  2. Step 2: Convert to fraction form
    208,115/442,150 = 442,150/x
  3. Step 3: Cross multiply
    208,115x = 442,150 × 442,150
  4. Step 4: Simplify right side
    208,115x = 195,496,622,500
  5. Step 5: Solve for x
    x = 195,496,622,500/208,115
  6. Step 6: Final answer
    x = 939,368.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.