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Finding the Third Proportional to 1,620 and 2,433.38

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Solution

The third proportional to 1,620 and 2,433.38 is: 3,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,433.38 = 2,433.38 : x
  2. Step 2: Convert to fraction form
    1,620/2,433.38 = 2,433.38/x
  3. Step 3: Cross multiply
    1,620x = 2,433.38 × 2,433.38
  4. Step 4: Simplify right side
    1,620x = 5,921,313.89
  5. Step 5: Solve for x
    x = 5,921,313.89/1,620
  6. Step 6: Final answer
    x = 3,655.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.