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Finding the Third Proportional to 3,012.75 and 5,428.13

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Solution

The third proportional to 3,012.75 and 5,428.13 is: 9,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.75 : 5,428.13 = 5,428.13 : x
  2. Step 2: Convert to fraction form
    3,012.75/5,428.13 = 5,428.13/x
  3. Step 3: Cross multiply
    3,012.75x = 5,428.13 × 5,428.13
  4. Step 4: Simplify right side
    3,012.75x = 29,464,541.02
  5. Step 5: Solve for x
    x = 29,464,541.02/3,012.75
  6. Step 6: Final answer
    x = 9,779.95

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.