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Finding the Third Proportional to 2,170.50 and 4,628.25

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Solution

The third proportional to 2,170.50 and 4,628.25 is: 9,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.50 : 4,628.25 = 4,628.25 : x
  2. Step 2: Convert to fraction form
    2,170.50/4,628.25 = 4,628.25/x
  3. Step 3: Cross multiply
    2,170.50x = 4,628.25 × 4,628.25
  4. Step 4: Simplify right side
    2,170.50x = 21,420,698.06
  5. Step 5: Solve for x
    x = 21,420,698.06/2,170.50
  6. Step 6: Final answer
    x = 9,869.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.