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Finding the Third Proportional to 2,678.63 and 4,206.38

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Solution

The third proportional to 2,678.63 and 4,206.38 is: 6,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.63 : 4,206.38 = 4,206.38 : x
  2. Step 2: Convert to fraction form
    2,678.63/4,206.38 = 4,206.38/x
  3. Step 3: Cross multiply
    2,678.63x = 4,206.38 × 4,206.38
  4. Step 4: Simplify right side
    2,678.63x = 17,693,590.64
  5. Step 5: Solve for x
    x = 17,693,590.64/2,678.63
  6. Step 6: Final answer
    x = 6,605.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.