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Finding the Third Proportional to 68,555 and 102,830

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Solution

The third proportional to 68,555 and 102,830 is: 154,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,555 : 102,830 = 102,830 : x
  2. Step 2: Convert to fraction form
    68,555/102,830 = 102,830/x
  3. Step 3: Cross multiply
    68,555x = 102,830 × 102,830
  4. Step 4: Simplify right side
    68,555x = 10,574,008,900
  5. Step 5: Solve for x
    x = 10,574,008,900/68,555
  6. Step 6: Final answer
    x = 154,241.25

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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.