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Finding the Third Proportional to 4,520.81 and 7,191.28

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Solution

The third proportional to 4,520.81 and 7,191.28 is: 11,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.81 : 7,191.28 = 7,191.28 : x
  2. Step 2: Convert to fraction form
    4,520.81/7,191.28 = 7,191.28/x
  3. Step 3: Cross multiply
    4,520.81x = 7,191.28 × 7,191.28
  4. Step 4: Simplify right side
    4,520.81x = 51,714,526.02
  5. Step 5: Solve for x
    x = 51,714,526.02/4,520.81
  6. Step 6: Final answer
    x = 11,439.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.