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Finding the Third Proportional to 79,972.50 and 171,015

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Solution

The third proportional to 79,972.50 and 171,015 is: 365,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,972.50 : 171,015 = 171,015 : x
  2. Step 2: Convert to fraction form
    79,972.50/171,015 = 171,015/x
  3. Step 3: Cross multiply
    79,972.50x = 171,015 × 171,015
  4. Step 4: Simplify right side
    79,972.50x = 29,246,130,225
  5. Step 5: Solve for x
    x = 29,246,130,225/79,972.50
  6. Step 6: Final answer
    x = 365,702.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.