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Finding the Third Proportional to 3,461.43 and 5,191.07

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Solution

The third proportional to 3,461.43 and 5,191.07 is: 7,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.43 : 5,191.07 = 5,191.07 : x
  2. Step 2: Convert to fraction form
    3,461.43/5,191.07 = 5,191.07/x
  3. Step 3: Cross multiply
    3,461.43x = 5,191.07 × 5,191.07
  4. Step 4: Simplify right side
    3,461.43x = 26,947,170.43
  5. Step 5: Solve for x
    x = 26,947,170.43/3,461.43
  6. Step 6: Final answer
    x = 7,784.98

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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.