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Finding the Third Proportional to 238,311 and 368,661.75

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Solution

The third proportional to 238,311 and 368,661.75 is: 570,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,311 : 368,661.75 = 368,661.75 : x
  2. Step 2: Convert to fraction form
    238,311/368,661.75 = 368,661.75/x
  3. Step 3: Cross multiply
    238,311x = 368,661.75 × 368,661.75
  4. Step 4: Simplify right side
    238,311x = 135,911,485,913.06
  5. Step 5: Solve for x
    x = 135,911,485,913.06/238,311
  6. Step 6: Final answer
    x = 570,311.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.