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Finding the Third Proportional to 84,075 and 128,575

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Solution

The third proportional to 84,075 and 128,575 is: 196,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,075 : 128,575 = 128,575 : x
  2. Step 2: Convert to fraction form
    84,075/128,575 = 128,575/x
  3. Step 3: Cross multiply
    84,075x = 128,575 × 128,575
  4. Step 4: Simplify right side
    84,075x = 16,531,530,625
  5. Step 5: Solve for x
    x = 16,531,530,625/84,075
  6. Step 6: Final answer
    x = 196,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.