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Finding the Third Proportional to 2,490 and 3,720.38

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Solution

The third proportional to 2,490 and 3,720.38 is: 5,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490 : 3,720.38 = 3,720.38 : x
  2. Step 2: Convert to fraction form
    2,490/3,720.38 = 3,720.38/x
  3. Step 3: Cross multiply
    2,490x = 3,720.38 × 3,720.38
  4. Step 4: Simplify right side
    2,490x = 13,841,190.14
  5. Step 5: Solve for x
    x = 13,841,190.14/2,490
  6. Step 6: Final answer
    x = 5,558.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.