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Finding the Third Proportional to 201,840 and 312,325

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Solution

The third proportional to 201,840 and 312,325 is: 483,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840 : 312,325 = 312,325 : x
  2. Step 2: Convert to fraction form
    201,840/312,325 = 312,325/x
  3. Step 3: Cross multiply
    201,840x = 312,325 × 312,325
  4. Step 4: Simplify right side
    201,840x = 97,546,905,625
  5. Step 5: Solve for x
    x = 97,546,905,625/201,840
  6. Step 6: Final answer
    x = 483,288.28

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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.