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Finding the Third Proportional to 87,075 and 130,275

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Solution

The third proportional to 87,075 and 130,275 is: 194,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,075 : 130,275 = 130,275 : x
  2. Step 2: Convert to fraction form
    87,075/130,275 = 130,275/x
  3. Step 3: Cross multiply
    87,075x = 130,275 × 130,275
  4. Step 4: Simplify right side
    87,075x = 16,971,575,625
  5. Step 5: Solve for x
    x = 16,971,575,625/87,075
  6. Step 6: Final answer
    x = 194,907.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.