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Finding the Third Proportional to 85,329 and 131,643

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Solution

The third proportional to 85,329 and 131,643 is: 203,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329 : 131,643 = 131,643 : x
  2. Step 2: Convert to fraction form
    85,329/131,643 = 131,643/x
  3. Step 3: Cross multiply
    85,329x = 131,643 × 131,643
  4. Step 4: Simplify right side
    85,329x = 17,329,879,449
  5. Step 5: Solve for x
    x = 17,329,879,449/85,329
  6. Step 6: Final answer
    x = 203,094.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.