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Finding the Third Proportional to 7,419.38 and 17,515.13

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Solution

The third proportional to 7,419.38 and 17,515.13 is: 41,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.38 : 17,515.13 = 17,515.13 : x
  2. Step 2: Convert to fraction form
    7,419.38/17,515.13 = 17,515.13/x
  3. Step 3: Cross multiply
    7,419.38x = 17,515.13 × 17,515.13
  4. Step 4: Simplify right side
    7,419.38x = 306,779,603.77
  5. Step 5: Solve for x
    x = 306,779,603.77/7,419.38
  6. Step 6: Final answer
    x = 41,348.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.