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Finding the Third Proportional to 3,346 and 4,715.50

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Solution

The third proportional to 3,346 and 4,715.50 is: 6,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346 : 4,715.50 = 4,715.50 : x
  2. Step 2: Convert to fraction form
    3,346/4,715.50 = 4,715.50/x
  3. Step 3: Cross multiply
    3,346x = 4,715.50 × 4,715.50
  4. Step 4: Simplify right side
    3,346x = 22,235,940.25
  5. Step 5: Solve for x
    x = 22,235,940.25/3,346
  6. Step 6: Final answer
    x = 6,645.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.