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Finding the Third Proportional to 199,170 and 310,851

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Solution

The third proportional to 199,170 and 310,851 is: 485,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,170 : 310,851 = 310,851 : x
  2. Step 2: Convert to fraction form
    199,170/310,851 = 310,851/x
  3. Step 3: Cross multiply
    199,170x = 310,851 × 310,851
  4. Step 4: Simplify right side
    199,170x = 96,628,344,201
  5. Step 5: Solve for x
    x = 96,628,344,201/199,170
  6. Step 6: Final answer
    x = 485,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.