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Finding the Third Proportional to 401,728 and 622,560

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Solution

The third proportional to 401,728 and 622,560 is: 964,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,728 : 622,560 = 622,560 : x
  2. Step 2: Convert to fraction form
    401,728/622,560 = 622,560/x
  3. Step 3: Cross multiply
    401,728x = 622,560 × 622,560
  4. Step 4: Simplify right side
    401,728x = 387,580,953,600
  5. Step 5: Solve for x
    x = 387,580,953,600/401,728
  6. Step 6: Final answer
    x = 964,784.51

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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.