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Finding the Third Proportional to 2,390.13 and 3,969.63

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Solution

The third proportional to 2,390.13 and 3,969.63 is: 6,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.13 : 3,969.63 = 3,969.63 : x
  2. Step 2: Convert to fraction form
    2,390.13/3,969.63 = 3,969.63/x
  3. Step 3: Cross multiply
    2,390.13x = 3,969.63 × 3,969.63
  4. Step 4: Simplify right side
    2,390.13x = 15,757,984.67
  5. Step 5: Solve for x
    x = 15,757,984.67/2,390.13
  6. Step 6: Final answer
    x = 6,592.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.