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Finding the Third Proportional to 238,290 and 368,631

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Solution

The third proportional to 238,290 and 368,631 is: 570,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,290 : 368,631 = 368,631 : x
  2. Step 2: Convert to fraction form
    238,290/368,631 = 368,631/x
  3. Step 3: Cross multiply
    238,290x = 368,631 × 368,631
  4. Step 4: Simplify right side
    238,290x = 135,888,814,161
  5. Step 5: Solve for x
    x = 135,888,814,161/238,290
  6. Step 6: Final answer
    x = 570,266.54

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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.