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Finding the Third Proportional to 1,828.20 and 2,810.64

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Solution

The third proportional to 1,828.20 and 2,810.64 is: 4,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 2,810.64 = 2,810.64 : x
  2. Step 2: Convert to fraction form
    1,828.20/2,810.64 = 2,810.64/x
  3. Step 3: Cross multiply
    1,828.20x = 2,810.64 × 2,810.64
  4. Step 4: Simplify right side
    1,828.20x = 7,899,678.76
  5. Step 5: Solve for x
    x = 7,899,678.76/1,828.20
  6. Step 6: Final answer
    x = 4,321.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.