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Finding the Third Proportional to 84,352 and 171,128

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Solution

The third proportional to 84,352 and 171,128 is: 347,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,352 : 171,128 = 171,128 : x
  2. Step 2: Convert to fraction form
    84,352/171,128 = 171,128/x
  3. Step 3: Cross multiply
    84,352x = 171,128 × 171,128
  4. Step 4: Simplify right side
    84,352x = 29,284,792,384
  5. Step 5: Solve for x
    x = 29,284,792,384/84,352
  6. Step 6: Final answer
    x = 347,173.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.