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Finding the Third Proportional to 8,430 and 17,406

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Solution

The third proportional to 8,430 and 17,406 is: 35,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 17,406 = 17,406 : x
  2. Step 2: Convert to fraction form
    8,430/17,406 = 17,406/x
  3. Step 3: Cross multiply
    8,430x = 17,406 × 17,406
  4. Step 4: Simplify right side
    8,430x = 302,968,836
  5. Step 5: Solve for x
    x = 302,968,836/8,430
  6. Step 6: Final answer
    x = 35,939.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.