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Finding the Third Proportional to 201,077 and 312,640

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Solution

The third proportional to 201,077 and 312,640 is: 486,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077 : 312,640 = 312,640 : x
  2. Step 2: Convert to fraction form
    201,077/312,640 = 312,640/x
  3. Step 3: Cross multiply
    201,077x = 312,640 × 312,640
  4. Step 4: Simplify right side
    201,077x = 97,743,769,600
  5. Step 5: Solve for x
    x = 97,743,769,600/201,077
  6. Step 6: Final answer
    x = 486,101.19

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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.