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Finding the Third Proportional to 201,833 and 312,518

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Solution

The third proportional to 201,833 and 312,518 is: 483,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833 : 312,518 = 312,518 : x
  2. Step 2: Convert to fraction form
    201,833/312,518 = 312,518/x
  3. Step 3: Cross multiply
    201,833x = 312,518 × 312,518
  4. Step 4: Simplify right side
    201,833x = 97,667,500,324
  5. Step 5: Solve for x
    x = 97,667,500,324/201,833
  6. Step 6: Final answer
    x = 483,902.53

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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.