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Finding the Third Proportional to 238,980.38 and 505,639.97

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Solution

The third proportional to 238,980.38 and 505,639.97 is: 1,069,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,980.38 : 505,639.97 = 505,639.97 : x
  2. Step 2: Convert to fraction form
    238,980.38/505,639.97 = 505,639.97/x
  3. Step 3: Cross multiply
    238,980.38x = 505,639.97 × 505,639.97
  4. Step 4: Simplify right side
    238,980.38x = 255,671,777,997.50
  5. Step 5: Solve for x
    x = 255,671,777,997.50/238,980.38
  6. Step 6: Final answer
    x = 1,069,844.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.