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Finding the Third Proportional to 1,620 and 2,598.33

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Solution

The third proportional to 1,620 and 2,598.33 is: 4,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,598.33 = 2,598.33 : x
  2. Step 2: Convert to fraction form
    1,620/2,598.33 = 2,598.33/x
  3. Step 3: Cross multiply
    1,620x = 2,598.33 × 2,598.33
  4. Step 4: Simplify right side
    1,620x = 6,751,309.05
  5. Step 5: Solve for x
    x = 6,751,309.05/1,620
  6. Step 6: Final answer
    x = 4,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.