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Finding the Third Proportional to 417,740.25 and 627,528.75

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Solution

The third proportional to 417,740.25 and 627,528.75 is: 942,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,740.25 : 627,528.75 = 627,528.75 : x
  2. Step 2: Convert to fraction form
    417,740.25/627,528.75 = 627,528.75/x
  3. Step 3: Cross multiply
    417,740.25x = 627,528.75 × 627,528.75
  4. Step 4: Simplify right side
    417,740.25x = 393,792,332,076.56
  5. Step 5: Solve for x
    x = 393,792,332,076.56/417,740.25
  6. Step 6: Final answer
    x = 942,672.71

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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.