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Finding the Third Proportional to 7,411 and 17,717

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Solution

The third proportional to 7,411 and 17,717 is: 42,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411 : 17,717 = 17,717 : x
  2. Step 2: Convert to fraction form
    7,411/17,717 = 17,717/x
  3. Step 3: Cross multiply
    7,411x = 17,717 × 17,717
  4. Step 4: Simplify right side
    7,411x = 313,892,089
  5. Step 5: Solve for x
    x = 313,892,089/7,411
  6. Step 6: Final answer
    x = 42,354.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.