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Finding the Third Proportional to 15,997.50 and 35,487

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Solution

The third proportional to 15,997.50 and 35,487 is: 78,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 35,487 = 35,487 : x
  2. Step 2: Convert to fraction form
    15,997.50/35,487 = 35,487/x
  3. Step 3: Cross multiply
    15,997.50x = 35,487 × 35,487
  4. Step 4: Simplify right side
    15,997.50x = 1,259,327,169
  5. Step 5: Solve for x
    x = 1,259,327,169/15,997.50
  6. Step 6: Final answer
    x = 78,720.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.