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Finding the Third Proportional to 1,677 and 4,225.50

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Solution

The third proportional to 1,677 and 4,225.50 is: 10,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 4,225.50 = 4,225.50 : x
  2. Step 2: Convert to fraction form
    1,677/4,225.50 = 4,225.50/x
  3. Step 3: Cross multiply
    1,677x = 4,225.50 × 4,225.50
  4. Step 4: Simplify right side
    1,677x = 17,854,850.25
  5. Step 5: Solve for x
    x = 17,854,850.25/1,677
  6. Step 6: Final answer
    x = 10,646.90

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.