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Finding the Third Proportional to 3,690.56 and 5,347.90

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Solution

The third proportional to 3,690.56 and 5,347.90 is: 7,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.56 : 5,347.90 = 5,347.90 : x
  2. Step 2: Convert to fraction form
    3,690.56/5,347.90 = 5,347.90/x
  3. Step 3: Cross multiply
    3,690.56x = 5,347.90 × 5,347.90
  4. Step 4: Simplify right side
    3,690.56x = 28,600,017.70
  5. Step 5: Solve for x
    x = 28,600,017.70/3,690.56
  6. Step 6: Final answer
    x = 7,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.