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Finding the Third Proportional to 4,138.59 and 9,074.53

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Solution

The third proportional to 4,138.59 and 9,074.53 is: 19,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.59 : 9,074.53 = 9,074.53 : x
  2. Step 2: Convert to fraction form
    4,138.59/9,074.53 = 9,074.53/x
  3. Step 3: Cross multiply
    4,138.59x = 9,074.53 × 9,074.53
  4. Step 4: Simplify right side
    4,138.59x = 82,347,117.41
  5. Step 5: Solve for x
    x = 82,347,117.41/4,138.59
  6. Step 6: Final answer
    x = 19,897.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.