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Finding the Third Proportional to 2,130.75 and 3,197.81

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Solution

The third proportional to 2,130.75 and 3,197.81 is: 4,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.75 : 3,197.81 = 3,197.81 : x
  2. Step 2: Convert to fraction form
    2,130.75/3,197.81 = 3,197.81/x
  3. Step 3: Cross multiply
    2,130.75x = 3,197.81 × 3,197.81
  4. Step 4: Simplify right side
    2,130.75x = 10,226,004.79
  5. Step 5: Solve for x
    x = 10,226,004.79/2,130.75
  6. Step 6: Final answer
    x = 4,799.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.