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Finding the Third Proportional to 401,451.19 and 622,345.78

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Solution

The third proportional to 401,451.19 and 622,345.78 is: 964,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,451.19 : 622,345.78 = 622,345.78 : x
  2. Step 2: Convert to fraction form
    401,451.19/622,345.78 = 622,345.78/x
  3. Step 3: Cross multiply
    401,451.19x = 622,345.78 × 622,345.78
  4. Step 4: Simplify right side
    401,451.19x = 387,314,271,439.67
  5. Step 5: Solve for x
    x = 387,314,271,439.67/401,451.19
  6. Step 6: Final answer
    x = 964,785.47

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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.