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Finding the Third Proportional to 3,476.53 and 5,083.59

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Solution

The third proportional to 3,476.53 and 5,083.59 is: 7,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.53 : 5,083.59 = 5,083.59 : x
  2. Step 2: Convert to fraction form
    3,476.53/5,083.59 = 5,083.59/x
  3. Step 3: Cross multiply
    3,476.53x = 5,083.59 × 5,083.59
  4. Step 4: Simplify right side
    3,476.53x = 25,842,925.42
  5. Step 5: Solve for x
    x = 25,842,925.42/3,476.53
  6. Step 6: Final answer
    x = 7,433.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.