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Finding the Third Proportional to 2,332.13 and 3,798.14

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Solution

The third proportional to 2,332.13 and 3,798.14 is: 6,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.13 : 3,798.14 = 3,798.14 : x
  2. Step 2: Convert to fraction form
    2,332.13/3,798.14 = 3,798.14/x
  3. Step 3: Cross multiply
    2,332.13x = 3,798.14 × 3,798.14
  4. Step 4: Simplify right side
    2,332.13x = 14,425,872.21
  5. Step 5: Solve for x
    x = 14,425,872.21/2,332.13
  6. Step 6: Final answer
    x = 6,185.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.