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Finding the Third Proportional to 17,570 and 39,717

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Solution

The third proportional to 17,570 and 39,717 is: 89,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570 : 39,717 = 39,717 : x
  2. Step 2: Convert to fraction form
    17,570/39,717 = 39,717/x
  3. Step 3: Cross multiply
    17,570x = 39,717 × 39,717
  4. Step 4: Simplify right side
    17,570x = 1,577,440,089
  5. Step 5: Solve for x
    x = 1,577,440,089/17,570
  6. Step 6: Final answer
    x = 89,780.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.