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Finding the Third Proportional to 203,040 and 467,952

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Solution

The third proportional to 203,040 and 467,952 is: 1,078,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,040 : 467,952 = 467,952 : x
  2. Step 2: Convert to fraction form
    203,040/467,952 = 467,952/x
  3. Step 3: Cross multiply
    203,040x = 467,952 × 467,952
  4. Step 4: Simplify right side
    203,040x = 218,979,074,304
  5. Step 5: Solve for x
    x = 218,979,074,304/203,040
  6. Step 6: Final answer
    x = 1,078,502.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.