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Finding the Third Proportional to 8,415.75 and 17,719.13

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Solution

The third proportional to 8,415.75 and 17,719.13 is: 37,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.75 : 17,719.13 = 17,719.13 : x
  2. Step 2: Convert to fraction form
    8,415.75/17,719.13 = 17,719.13/x
  3. Step 3: Cross multiply
    8,415.75x = 17,719.13 × 17,719.13
  4. Step 4: Simplify right side
    8,415.75x = 313,967,390.77
  5. Step 5: Solve for x
    x = 313,967,390.77/8,415.75
  6. Step 6: Final answer
    x = 37,307.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.