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Finding the Third Proportional to 428,839.71 and 628,936.44

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Solution

The third proportional to 428,839.71 and 628,936.44 is: 922,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,839.71 : 628,936.44 = 628,936.44 : x
  2. Step 2: Convert to fraction form
    428,839.71/628,936.44 = 628,936.44/x
  3. Step 3: Cross multiply
    428,839.71x = 628,936.44 × 628,936.44
  4. Step 4: Simplify right side
    428,839.71x = 395,561,051,013.95
  5. Step 5: Solve for x
    x = 395,561,051,013.95/428,839.71
  6. Step 6: Final answer
    x = 922,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.