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Finding the Third Proportional to 402,078.94 and 622,824.19

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Solution

The third proportional to 402,078.94 and 622,824.19 is: 964,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,078.94 : 622,824.19 = 622,824.19 : x
  2. Step 2: Convert to fraction form
    402,078.94/622,824.19 = 622,824.19/x
  3. Step 3: Cross multiply
    402,078.94x = 622,824.19 × 622,824.19
  4. Step 4: Simplify right side
    402,078.94x = 387,909,968,535.04
  5. Step 5: Solve for x
    x = 387,909,968,535.04/402,078.94
  6. Step 6: Final answer
    x = 964,760.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.