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Finding the Third Proportional to 3,554.72 and 5,381.02

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Solution

The third proportional to 3,554.72 and 5,381.02 is: 8,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.72 : 5,381.02 = 5,381.02 : x
  2. Step 2: Convert to fraction form
    3,554.72/5,381.02 = 5,381.02/x
  3. Step 3: Cross multiply
    3,554.72x = 5,381.02 × 5,381.02
  4. Step 4: Simplify right side
    3,554.72x = 28,955,329.16
  5. Step 5: Solve for x
    x = 28,955,329.16/3,554.72
  6. Step 6: Final answer
    x = 8,145.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.