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Finding the Third Proportional to 3,557.20 and 5,316.10

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Solution

The third proportional to 3,557.20 and 5,316.10 is: 7,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.20 : 5,316.10 = 5,316.10 : x
  2. Step 2: Convert to fraction form
    3,557.20/5,316.10 = 5,316.10/x
  3. Step 3: Cross multiply
    3,557.20x = 5,316.10 × 5,316.10
  4. Step 4: Simplify right side
    3,557.20x = 28,260,915.06
  5. Step 5: Solve for x
    x = 28,260,915.06/3,557.20
  6. Step 6: Final answer
    x = 7,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.