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Finding the Third Proportional to 208,622.25 and 312,792.75

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Solution

The third proportional to 208,622.25 and 312,792.75 is: 468,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622.25 : 312,792.75 = 312,792.75 : x
  2. Step 2: Convert to fraction form
    208,622.25/312,792.75 = 312,792.75/x
  3. Step 3: Cross multiply
    208,622.25x = 312,792.75 × 312,792.75
  4. Step 4: Simplify right side
    208,622.25x = 97,839,304,452.56
  5. Step 5: Solve for x
    x = 97,839,304,452.56/208,622.25
  6. Step 6: Final answer
    x = 468,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.