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Finding the Third Proportional to 7,842 and 17,220

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Solution

The third proportional to 7,842 and 17,220 is: 37,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 17,220 = 17,220 : x
  2. Step 2: Convert to fraction form
    7,842/17,220 = 17,220/x
  3. Step 3: Cross multiply
    7,842x = 17,220 × 17,220
  4. Step 4: Simplify right side
    7,842x = 296,528,400
  5. Step 5: Solve for x
    x = 296,528,400/7,842
  6. Step 6: Final answer
    x = 37,812.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.