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Finding the Third Proportional to 7,688 and 17,556

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Solution

The third proportional to 7,688 and 17,556 is: 40,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 17,556 = 17,556 : x
  2. Step 2: Convert to fraction form
    7,688/17,556 = 17,556/x
  3. Step 3: Cross multiply
    7,688x = 17,556 × 17,556
  4. Step 4: Simplify right side
    7,688x = 308,213,136
  5. Step 5: Solve for x
    x = 308,213,136/7,688
  6. Step 6: Final answer
    x = 40,090.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.