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Finding the Third Proportional to 68,539.50 and 158,659

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Solution

The third proportional to 68,539.50 and 158,659 is: 367,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,539.50 : 158,659 = 158,659 : x
  2. Step 2: Convert to fraction form
    68,539.50/158,659 = 158,659/x
  3. Step 3: Cross multiply
    68,539.50x = 158,659 × 158,659
  4. Step 4: Simplify right side
    68,539.50x = 25,172,678,281
  5. Step 5: Solve for x
    x = 25,172,678,281/68,539.50
  6. Step 6: Final answer
    x = 367,272.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.