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Finding the Third Proportional to 201,103 and 312,690

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Solution

The third proportional to 201,103 and 312,690 is: 486,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103 : 312,690 = 312,690 : x
  2. Step 2: Convert to fraction form
    201,103/312,690 = 312,690/x
  3. Step 3: Cross multiply
    201,103x = 312,690 × 312,690
  4. Step 4: Simplify right side
    201,103x = 97,775,036,100
  5. Step 5: Solve for x
    x = 97,775,036,100/201,103
  6. Step 6: Final answer
    x = 486,193.82

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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.