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Finding the Third Proportional to 1,284.80 and 2,751.80

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Solution

The third proportional to 1,284.80 and 2,751.80 is: 5,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.80 : 2,751.80 = 2,751.80 : x
  2. Step 2: Convert to fraction form
    1,284.80/2,751.80 = 2,751.80/x
  3. Step 3: Cross multiply
    1,284.80x = 2,751.80 × 2,751.80
  4. Step 4: Simplify right side
    1,284.80x = 7,572,386.04
  5. Step 5: Solve for x
    x = 7,572,386.04/1,284.80
  6. Step 6: Final answer
    x = 5,893.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.