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Finding the Third Proportional to 303,054.38 and 638,058.75

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Solution

The third proportional to 303,054.38 and 638,058.75 is: 1,343,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,054.38 : 638,058.75 = 638,058.75 : x
  2. Step 2: Convert to fraction form
    303,054.38/638,058.75 = 638,058.75/x
  3. Step 3: Cross multiply
    303,054.38x = 638,058.75 × 638,058.75
  4. Step 4: Simplify right side
    303,054.38x = 407,118,968,451.56
  5. Step 5: Solve for x
    x = 407,118,968,451.56/303,054.38
  6. Step 6: Final answer
    x = 1,343,385.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.