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Finding the Third Proportional to 414,859.50 and 638,577

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Solution

The third proportional to 414,859.50 and 638,577 is: 982,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,859.50 : 638,577 = 638,577 : x
  2. Step 2: Convert to fraction form
    414,859.50/638,577 = 638,577/x
  3. Step 3: Cross multiply
    414,859.50x = 638,577 × 638,577
  4. Step 4: Simplify right side
    414,859.50x = 407,780,584,929
  5. Step 5: Solve for x
    x = 407,780,584,929/414,859.50
  6. Step 6: Final answer
    x = 982,936.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.